| Anti Particles | Intuitive | paul.physicsnotes.org/doku.php?id=distillery:cpv | article |
| Anti Particles | Concrete | Particle/Anti-Particle Annihilation | Of Particular Significance | article |
| Anti Particles | Concrete | physics.stackexchange.com/questions/391/is-anti-matter-matter-going-backwards-in-time?rq=1 | Q&A |
| Asymptotic Symmetries | Intuitive | jakobschwichtenberg.com/surprising-symmetries/ | article |
| Black Hole | Intuitive | How We Know Black Holes Exist | video |
| Black Hole | Intuitive | The Unreasonable Efficiency of Black Holes | video |
| Black Hole | Intuitive | The Black Hole Tipping Point | video |
| Black Hole | Intuitive | Everything You Ever Wanted to Know About Black Holes | article |
| CP Symmetry | Intuitive | Charge-parity violation | article |
| CP Symmetry | Intuitive | The Mystery of CP Violation | lecture notes |
| CP Symmetry | Concrete | An amazing discussion can be found here. | article |
| CP Symmetry | Concrete | The Theory of CP-Violation -- in as Much of a Nutshell as Will Fit on 8 Pages | paper |
| CP Symmetry | Concrete | CP and other Symmetries of Symmetries | paper |
| CP Symmetry | Concrete | Latest results from T2K | paper |
| CP Symmetry | Abstract | Automorphisms in Gauge Theories and the Definition of CP and P | paper |
| CP Symmetry | Abstract | The Pin Groups in Physics | paper |
| CPT Symmetry | Concrete | WHY IS CPT FUNDAMENTAL? | paper |
| Duality | Concrete | Comparing Dualities and Gauge Symmetries | paper |
| Elementary Particles | Intuitive | The Known (Apparently-) Elementary Particles | Of Particular Significance | article |
| Elementary Particles | Intuitive | Why not start with quarks? Teachers investigate a learning unit on the subatomic structure of matter with 12-year-olds | lecture notes |
| Elementary Particles | Intuitive | How big is an electron? | article |
| Elementary Particles | Abstract | Elementary Particles | article |
| Elementary Particles | Abstract | See http://physics.stackexchange.com/questions/33350/particle-as-a-representation-of-the-lorentz-group | Q&A |
| Elementary Particles | Abstract | A closer look at the elementary fermions | lecture notes |
| Emergence | Intuitive | Quasiparticles and the Miracle of Emergence | article |
| Emergence | Concrete | perimeterinstitute.ca/videos/emergent-gauge-fields-and-their-condensation-quantum-spin-liquids | video |
| Emergence | Abstract | Emergent Phenomena in Condensed Matter and Particle Physics | article |
| Emergence | Abstract | Symmetry and Emergence | paper |
| Emergence | Abstract | Emergent Quantum Mechanics and Emergent Symmetries | paper |
| Emergence | Abstract | Duality and emergent gauge symmetry | video |
| Emergence | Abstract | The Emergence of Spacetime, or, Quantum Gravity on Your Desktop | paper |
| Emergence | Abstract | The self-organizing quantum universe | paper |
| Emergence | Abstract | Quantum Theory as an Emergent Phenomenon: Foundations and Phenomenology | paper |
| Emergence | Abstract | Statistical Dynamics of Global Unitary Invariant Matrix Models as Pre-Quantum Mechanics | paper |
| Emergence | Abstract | Causality as an emergent macroscopic phenomenon: The Lee-Wick O(N) model | paper |
| Emergence | Abstract | See http://dao.mit.edu/~wen/pub/cosmos.html for papers how gauge symmetries can emerge. | article |
| Emergence | Abstract | More Really is Different | paper |
| Free Energy | Intuitive | When Nature plays Skee-ball: the meaning of free energy | Gravity and Levity | article |
| Group Velocity | Intuitive | When group velocity is an optical illusion | Gravity and Levity | article |
| Hawking Radiation | Concrete | Hawking radiation, the Stefan-Boltzmann law, and unitarization | paper |
| Observable | Concrete | No-Nonsense Quantum Mechanics | book |
| Planck Length | Concrete | The Planck Length by John Baez | article |
| Poisson Bracket | Concrete | No-Nonsense Classical Mechanics | book |
| Anomalies | Intuitive | Axial anomaly, Dirac sea, and the chiral magnetic effect | paper |
| Anomalies | Concrete | For a nice introduction, see http://www.maths.dur.ac.uk/~dma0saa/lecture_notes.pdf | lecture notes |
| Anomalies | Concrete | see also the discussion in https://www.math.columbia.edu/~woit/QM/qmbook.pdf and here | lecture notes |
| Anomalies | Concrete | see also the discussion in https://www.math.columbia.edu/~woit/QM/qmbook.pdf and here | Q&A |
| Anomalies | Concrete | and section 9.2. " Creation of particles by classical fields" here | paper |
| Anomalies | Concrete | Gauge theory, anomalies and global geometry: The interplay of physics and mathematics | paper |
| Anomalies | Concrete | Anomalies for Pedestrians | paper |
| Anomalies | Abstract | Uniqueness of quark and lepton representations in the standard model from the anomalies viewpoint | paper |
| Anomalies | Abstract | Comment on anomaly cancellation in the standard model | paper |
| Anomalies | Abstract | Particle creation via relaxing hypermagnetic knots | paper |
| Anomalies | Abstract | www.atlantis-press.com/php/download_paper.php?id=754 | book |
| Anomalies | Abstract | Chiral Anomalies And Differential Geometry | paper |
| Anomalies | Abstract | See also https://www.mathi.uni-heidelberg.de/~walcher/teaching/sose16/geo_phys/Anomalies.pdf | lecture notes |
| Anomalies | Abstract | Geometry and topology of chiral anomalies in gauge theories | article |
| Anomalies | Abstract | Anomalies and Cocycles | paper |
| Instantons | Concrete | No-Nonsense Quantum Field Theory | book |
| Perturbation Theory | Concrete | No-Nonsense Quantum Mechanics | book |
| Perturbation Theory | Concrete | No-Nonsense Quantum Field Theory | book |
| Perturbation Theory | Abstract | Amplitudes for Astrophysicists I: Known Knowns | paper |
| QCD Vacuum | Concrete | Demystifying the QCD vacuum | article |
| QCD Vacuum | Concrete | See also Demystifying the QCD vacuum by Jakob Schwichtenberg, part 2,part 3, part 4, part 5 | article |
| QCD Vacuum | Concrete | part 3 | article |
| QCD Vacuum | Concrete | part 4 | article |
| QCD Vacuum | Concrete | part 5 | article |
| QCD Vacuum | Concrete | Theory and phenomenology of the QCD vacuum | paper |
| QCD Vacuum | Concrete | muellergroup.lassp.cornell.edu/Basic_Training_Spring_2011/Semiclassics_files/semiclassical3.pdf | lecture notes |
| Solitons | Concrete | Classical lumps and their quantum descendants | lecture notes |
| Vacuum Expectation Value | Concrete | No-Nonsense Quantum Field Theory | book |
| Virtual Particles | Intuitive | Virtual Particles: What are they? | Of Particular Significance | article |
| Virtual Particles | Intuitive | physics.stackexchange.com/questions/34049/what-really-goes-on-in-a-vacuum?lq=1 | Q&A |
| Virtual Particles | Intuitive | physics.stackexchange.com/questions/4349/are-w-z-bosons-virtual-or-not/22064#22064 | Q&A |
| Virtual Particles | Intuitive | mat.univie.ac.at/~neum/physfaq/topics/vacfluc | article |
| Virtual Particles | Intuitive | Quantum Fluctuations and Their Energy | Of Particular Significance | article |
| Virtual Particles | Concrete | Learn the Physics of Virtual Particles in Quantum Mechanics | Q&A |
| Virtual Particles | Concrete | Top Misconceptions about Virtual Particles | Q&A |
| Virtual Particles | Concrete | Explore The Vacuum Fluctuation Myth in Quantum Theory | Q&A |
| Virtual Particles | Concrete | No-Nonsense Quantum Field Theory | book |
| Virtual Particles | Abstract | Learn the Physics of Virtual Particles in Quantum Mechanics | Q&A |
| Virtual Particles | Abstract | Top Misconceptions about Virtual Particles | Q&A |
| Wilson Loops | Intuitive | Physics of Finance | paper |
| Wilson Loops | Intuitive | The symmetry and simplicity of the laws of physics and the Higgs boson | paper |
| Wilson Loops | Intuitive | Foreign exchange market as a lattice gauge theory | paper |
| Quasiparticle | Intuitive | A story about quasiparticles | Gravity and Levity | article |
| Quasiparticle | Intuitive | A story about quasiparticles on the beach | Gravity and Levity | article |
| Quasiparticle | Intuitive | Quasiparticles and the Miracle of Emergence | article |
| Relational Physics | Concrete | Space is blue and birds fly through it | paper |
| Relational Physics | Abstract | Why Gauge? | paper |
| Skyrmions | Intuitive | Elusive spin textures discovered | paper |
| Superconductivity | Intuitive | Draw me a picture of a Cooper pair | article |
| Symmetry Breaking | Concrete | A great introduction is http://www.lassp.cornell.edu/sethna/pubPDF/OrderParameters.pdf | lecture notes |
| Symmetry Breaking | Concrete | For the distinction between symmetry breaking in classical mechanics, quantum mechanics and qft, see... | Q&A |
| Symmetry Breaking | Concrete | The polite fiction of symmetry breaking | article |
| Symmetry Breaking | Concrete | No-Nonsense Quantum Field Theory | book |
| Symmetry Breaking | Abstract | Spontaneous Symmetry Breaking and Nambu-Goldstone Bosons in Quantum Many-Body Systems | paper |
| Symmetry Breaking | Abstract | Notes on the spontaneous breaking of SU(N). and SO(N) via a second-rank tensor multiplet. | article |
| Symmetry Breaking | Abstract | Explaining Quantum Spontaneous Symmetry Breaking | paper |
| Higgs Mechanism | Intuitive | Understanding the Higgs mechanism intuitively | article |
| Higgs Mechanism | Intuitive | See also, the most famous PopSci explanation of the Higgs mechanism: https://www.hep.ucl.ac.uk/~djm/higgsa.html | article |
| Higgs Mechanism | Intuitive | Illustrating the Higgs mechanism, Part 1 | article |
| Higgs Mechanism | Intuitive | Illustrating the Higgs mechanism, Part 2 | article |
| Higgs Mechanism | Concrete | How the Higgs Field Works (with math) | Of Particular Significance | article |
| Higgs Mechanism | Concrete | Another introduction is http://www.quantumfieldtheory.info/Electroweak_Sym_breaking.pdf | lecture notes |
| Higgs Mechanism | Concrete | For some nice analogies that help to understand symmetry breaking better see: https://arxiv.org/pdf/1003.4170.pdf | paper |
| Higgs Mechanism | Concrete | Great explanation can be found in https://journals.aps.org/rmp/pdf/10.1103/RevModPhys.86.843 | paper |
| Higgs Mechanism | Concrete | Spontaneous symmetry breaking, gauge theories, the Higgs mechanism and all that | paper |
| Higgs Mechanism | Concrete | Demystifying the Higgs Boson | video |
| Higgs Mechanism | Concrete | See also https://www.nikhef.nl/~ivov/HiggsLectureNote.pdf | lecture notes |
| Higgs Mechanism | Concrete | Spontaneous Symmetry Breaking and Nambu–Goldstone Bosons in Quantum Many-Body Systems | paper |
| Higgs Mechanism | Concrete | quantumdiaries.org/2011/11/21/why-do-we-expect-a-higgs-boson-part-i-electroweak-symmetry-breaking/ | article |
| Higgs Mechanism | Concrete | quantumdiaries.org/2011/03/25/an-idiosyncratic-introduction-to-the-higgs/ | article |
| Higgs Mechanism | Concrete | quantumdiaries.org/2011/05/05/a-diagrammatic-hint-of-masses-from-the-higgs/ | article |
| Higgs Mechanism | Concrete | quantumdiaries.org/2011/06/03/higgs-and-the-vacuum-viva-la-vev/ | article |
| Higgs Mechanism | Concrete | quantumdiaries.org/2011/10/10/who-ate-the-higgs/ | article |
| Higgs Mechanism | Concrete | No-Nonsense Quantum Field Theory | book |
| Higgs Mechanism | Abstract | Gravity from a Particle Physicists’ perspective | paper |
| Higgs Mechanism | Abstract | Solitons and Instantons | lecture notes |
| Higgs Mechanism | Abstract | Another great summary can be found in https://arxiv.org/pdf/1405.5532.pdf | paper |
| Topological Defects | Intuitive | Skeptic's Play: What are topological defects? | article |
| Topological Defects | Intuitive | See also http://web.mit.edu/8.334/www/grades/projects/projects14/TrungPhan_8334WP/foundation-5.2.2/index.html for... | article |
| Topological Defects | Concrete | A great introduction is http://www.dartmouth.edu/~dbr/topdefects.pdf and | lecture notes |
| Topological Defects | Concrete | see also http://www.lassp.cornell.edu/sethna/pubPDF/OrderParameters.pdf and | lecture notes |
| Topological Defects | Concrete | From Monopoles to Textures | article |
| Topological Defects | Abstract | If the first homotopy group π1(G/H) is non-trivial, we get one-dimensional topological defects that are called... | lecture notes |
| Topological Defects | Abstract | If the third homotopy group π3(G/H) is non-trivial, we get so called “textures”. The name "textures" is common... | paper |
| Magnetic Monopoles | Concrete | Magnetic Monopoles | lecture notes |
| Magnetic Monopoles | Concrete | MAGNETIC MONOPOLES | lecture notes |
| Uncertainty Principle | Intuitive | Uncertainty principle? It's not about quantum. | video |
| Uncertainty Principle | Concrete | math.ucr.edu/home/baez/uncertainty.html | article |
| Uncertainty Principle | Concrete | No-Nonsense Quantum Mechanics | book |
| Uncertainty Principle | Abstract | The certainty principle (review) | paper |
| Bayesian Statistics | Concrete | An Intuitive (and Short) Explanation of Bayes’ Theorem | article |
| Bayesian Statistics | Concrete | Understanding Bayes Theorem With Ratios | article |
| Bayesian Statistics | Concrete | Bayesian data analysis for newcomers | paper |
| Bayesian Statistics | Concrete | Bayesian data analysis for newcomers by John K. Kruschke and Torrin M. Liddell; (Available also here) | article |
| Bayesian Statistics | Concrete | Think Bayes - Bayesian Statistics Made Simple | lecture notes |
| Bayesian Statistics | Concrete | Probability Theory as Extended Logic | article |
| Bayesian Statistics | Concrete | Probability Theory: The Logic of Science | book |
| Bianchi Identities | Concrete | The Boundary of a Boundary Principle - a unified approach | paper |
| Category Theory | Intuitive | Physics Topology and Computation a Rosetta Stone | lecture notes |
| Category Theory | Concrete | math.ucr.edu/home/baez/categories.html | article |
| Category Theory | Concrete | Categories for the practising physicist | paper |
| Category Theory | Concrete | From Finite Sets to Feynman Diagrams | paper |
| Groupoids | Concrete | page 134 in What is a Mathematical Concept? | book |
| Groupoids | Concrete | math.ucr.edu/home/baez/week248.html | article |
| Groupoids | Concrete | math.ucr.edu/home/baez/week249.html | article |
| Groupoids | Concrete | The importance of mathematical conceptualisation | paper |
| Groupoids | Concrete | From groups to groupoid by Ronald Brown | paper |
| Groupoids | Concrete | Groupoids: Unifying Internal and External Symmetry A Tour through Some Examples | lecture notes |
| Groupoids | Concrete | Ronald Brown, professor emeritus, web site: Groupoids | article |
| Groupoids | Abstract | groupoid in nLab | article |
| Groupoids | Abstract | Lie Groupoids and Lie algebroids in physics and noncommutative geometry | paper |
| Yoneda Lemma | Intuitive | The Most Obvious Secret in Mathematics | article |
| Yoneda Lemma | Intuitive | The Yoneda Perspective | article |
| Yoneda Lemma | Concrete | The Yoneda Embedding | article |
| Yoneda Lemma | Concrete | The Yoneda Lemma | article |
| Connections | Concrete | For a nice explanation of connections with pictures, see page 26 and 27... | lecture notes |
| Covariant and Contravariant Coordinates | Concrete | See also http://www.project-tartarus.com/2017/05/what-are-covariant-and-contravariant-coordinates/ | article |
| Curvature | Intuitive | What Is (Gaussian) Curvature? | article |
| Differential Forms | Concrete | For the basic idea, see http://jakobschwichtenberg.com/vectors-forms-p-vectors-p-forms-and-tensors/ | article |
| Differential Forms | Concrete | Manifolds and Differential Forms | article |
| Differential Geometry | Intuitive | A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures | paper |
| Differential Geometry | Concrete | Differential Geometry in Physics An introductory exposition for true non-experts | lecture notes |
| Differential Geometry | Concrete | Manifolds and Differential Forms | article |
| Distributions | Concrete | No-Nonsense Electrodynamics | book |
| Effective Field Theory | Intuitive | How Quantum Field Theory Becomes “Effective” | Sean Carroll Blog | article |
| Effective Field Theory | Concrete | Effective Field Theory by Howard Georgi | lecture notes |
| Effective Field Theory | Concrete | How to use the Standard Model effective field theory | paper |
| Effective Field Theory | Concrete | No-Nonsense Quantum Field Theory | book |
| Expectation Values | Concrete | No-Nonsense Quantum Mechanics | book |
| Feynman Diagrams | Concrete | Feynman Diagrams for Beginners | paper |
| Feynman Diagrams | Concrete | Feynman Diagrams For Pedestrians | lecture notes |
| Feynman Diagrams | Concrete | chapter 6 in An Invitation to Quantum Field Theory | lecture notes |
| Feynman Diagrams | Concrete | Diagrammar | paper |
| Feynman Diagrams | Concrete | A resource for signs and Feynman diagrams of the Standard Model | paper |
| Feynman Diagrams | Concrete | No-Nonsense Quantum Field Theory | book |
| Feynman Diagrams | Abstract | Feynman Diagrams for Pedestrians and Mathematicians | paper |
| Fiber Bundles | Concrete | Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results | paper |
| Fiber Bundles | Concrete | For a quick overview with many pictures, see... | lecture notes |
| Gauge Symmetry | Intuitive | The symmetry and simplicity of the laws of physics and the Higgs boson | paper |
| Gauge Symmetry | Intuitive | Gauge Theories of the Forces between Elementary Particles | lecture notes |
| Gauge Symmetry | Intuitive | Foreign exchange market as a lattice gauge theory | paper |
| Gauge Symmetry | Intuitive | The economic analogy | plus.maths.org | article |
| Gauge Symmetry | Intuitive | Electromagnetic economics | plus.maths.org | article |
| Gauge Symmetry | Intuitive | The weak force and massive particles | plus.maths.org | article |
| Gauge Symmetry | Intuitive | The Higgs mechanism | plus.maths.org | article |
| Gauge Symmetry | Intuitive | youtube.com/watch?v=OQF7kkWjVWM | video |
| Gauge Symmetry | Concrete | No-Nonsense Electrodynamics | book |
| Gauge Symmetry | Abstract | hysical Principles, Geometrical Aspects, and Locality Properties of Gauge Field Theories | paper |
| Gauge Fixing | Abstract | Interpretation of pseudoparticles in physical gauges | paper |
| Gauge Fixing | Abstract | what gave Frank Wilczek the idea for the axion mechanism | paper |
| Gauge Fixing | Abstract | Coulomb gauge description of large Yang-Mills fields | paper |
| Gauge Fixing | Abstract | Higgs Mechanism in the Temporal Gauge | paper |
| Gauge Fixing | Abstract | Higgs phenomenon without symmetry breaking order parameter | paper |
| Geometric Phase | Intuitive | If You Walk in A Closed Loop, Do You End Up Where You Started? | article |
| Geometric Phase | Intuitive | The Geometric Phase | lecture notes |
| Geometric Phase | Intuitive | courses.cit.cornell.edu/ece5390/7_berry_phase.pdf | lecture notes |
| Geometric Phase | Concrete | Quantum Phases And Angles | paper |
| Geometric Phase | Concrete | Geometric phases also exist in classical mechanics, like for example Hannay's angle. For a discussion of Hannay's... | lecture notes |
| Gerbes | Concrete | math.ucr.edu/home/baez/week210.html | article |
| Gerbes | Concrete | What is a Gerbe? | lecture notes |
| Gerbes | Concrete | What is a Gerbe? by Nigel Hitchin; see also the comment about it here and the discussion here. | article |
| Gerbes | Concrete | What is a Gerbe? by Nigel Hitchin; see also the comment about it here and the discussion here. | article |
| Group Theory | Intuitive | Symmetry in physics: Wigner's legacy | lecture notes |
| Group Theory | Concrete | jakobschwichtenberg.com/why-group-theory/ | article |
| Group Theory | Concrete | jakobschwichtenberg.com/motivation-for-the-group-theory-axioms/ | article |
| Group Theory | Concrete | jakobschwichtenberg.com/naive-introduction-lie-theory/ | article |
| Group Theory | Concrete | jakobschwichtenberg.com/short-introduction-motivation-representation-theory/ | article |
| Group Theory | Concrete | jakobschwichtenberg.com/lie-algebra-able-describe-group/ | article |
| Group Theory | Concrete | jakobschwichtenberg.com/adjoint-representation/ | article |
| Group Theory | Concrete | See also https://www.quora.com/What-role-do-Lie-groups-and-or-Lie-algebras-play-in-physics/answer/Ron-Maimon?srid=TYwn | Q&A |
| Group Theory | Concrete | Lie groups and algebras A simplified introduction to Lie groups and algebras | article |
| Group Theory | Concrete | Another nice introduction is https://www-zeuthen.desy.de/~kolanosk/eep06/skripte/lie.pdf | lecture notes |
| Group Theory | Concrete | fizyka.umk.pl/~bgw/rzeszow1.pdf | lecture notes |
| Group Theory | Abstract | Atlas of Lie Groups and Representations | article |
| Group Theory | Abstract | groupprops.subwiki.org/wiki/Main_Page | article |
| Conformal Group | Concrete | The conformal group is SO(4,2) or its double cover SU(2,2) Source | article |
| Conformal Group | Concrete | On Representations of the Conformal Group Which When Restricted to Its Poincare or Weyl Subgroups Remain Irreducible | paper |
| Conformal Group | Concrete | this chapter | book |
| Conformal Group | Concrete | A conformal field theory primer by Paul Fendley | lecture notes |
| Conformal Group | Concrete | Living Without Supersymmetry -- the Conformal Alternative and a Dynamical Higgs Boson by Philip D. Mannheim | paper |
| Conformal Group | Concrete | physics.stackexchange.com/questions/63595/what-exactly-is-meant-by-the-conformal-group-of-minkowski-space | Q&A |
| Conformal Group | Abstract | "the conformal group is non-compact and semisimple" Source | paper |
| Conformal Group | Abstract | The conformal group, its casimir operators, and a four-position operator | Il Nuovo Cimento A (1971-1996) | Springer... | paper |
| Conformal Group | Abstract | Fulton et al. | paper |
| Lie Algebras | Abstract | How is a Lie Algebra able to describe a Group? | article |
| Lie Algebras | Abstract | What Information About a Lie Group is Not Encoded in its Lie Algebra? | article |
| Lorentz Group | Concrete | No-Nonsense Quantum Field Theory | book |
| Poincare Group | Concrete | here: http://pages.cs.wisc.edu/~guild/symmetrycompsproject.pdf | lecture notes |
| Poincare Group | Concrete | Quantum Field Theory | lecture notes |
| Poincare Group | Concrete | No-Nonsense Quantum Field Theory | book |
| Representation Theory | Concrete | Short Introduction to and Motivation for Representation Theory | article |
| Representation Theory | Concrete | What’s so special about the adjoint representation of a Lie group? | article |
| Representation Theory | Concrete | damtp.cam.ac.uk/user/ch558/pdf/Representations.pdf | lecture notes |
| Adjoint Representation | Concrete | What’s so special about the adjoint representation of a Lie group? | article |
| SU(2) | Abstract | A Journey to The Manifold SU(2) | Q&A |
| Hopf Bundle | Concrete | See also http://math.ucr.edu/home/baez/week141.html | article |
| Hopf Bundle | Concrete | Niles Johnson : Hopf Fibration Video | article |
| Legendre Transformation | Concrete | Making sense of the Legendre transform | paper |
| Legendre Transformation | Concrete | Legendre transform | foreXiv | article |
| Legendre Transformation | Concrete | A Neighborhood of Infinity: Quantum Mechanics and the Fourier-Legendre Transform over a Semiring | article |
| Legendre Transformation | Concrete | andrew.cmu.edu/course/33-765/pdf/Legendre.pdf | lecture notes |
| Legendre Transformation | Concrete | mathforum.org/kb/message.jspa?messageID=3868685 | article |
| Legendre Transformation | Concrete | A Neighborhood of Infinity: Some parallels between classical and quantum mechanics | article |
| Legendre Transformation | Concrete | No-Nonsense Classical Mechanics | book |
| Manifold | Intuitive | What Is A Manifold? | article |
| Minkowski Metric | Concrete | No-Nonsense Quantum Field Theory | book |
| Monte-Carlo Simulations | Concrete | An introduction to Monte Carlo methods | paper |
| Monte-Carlo Simulations | Concrete | The Monte Carlo method in quantum field theory | paper |
| Morse Theory | Intuitive | A visual introduction to Morse theory | article |
| Non-Perturbative QFT | Concrete | No-Nonsense Quantum Field Theory | book |
| Product Spaces | Intuitive | Multiplying Non-Numbers | article |
| Quantization | Concrete | page 4 and 5 in Klauber's Student friendly QFT | lecture notes |
| Quantization | Concrete | PHYS771 Lecture 9: Quantum | article |
| Quantization | Abstract | Quantization Methods: A Guide for Physicists and Analysts | paper |
| Quantization | Abstract | Obstructions to Quantization | paper |
| Quaternions | Intuitive | Curious quaternions | plus.maths.org | article |
| Quaternions | Intuitive | excellent video on Quaternions | video |
| Quaternions | Intuitive | The Strange Numbers That Birthed Modern Algebra | article |
| Renormalization | Concrete | Regularization, Renormalization, and Dimensional Analysis | paper |
| Renormalization | Concrete | Renormalization Made Easy | article |
| Renormalization | Concrete | Moreover, a concise over of different regularization methods can be found here. | lecture notes |
| Renormalization | Concrete | A great discussion of why infinities arise in the first place can be found in... | lecture notes |
| Renormalization | Concrete | Renormalization Scrutinized | paper |
| Renormalization | Concrete | A hint of renormalization by B. Delamotte | paper |
| Renormalization | Concrete | mat.univie.ac.at/~neum/ms/ren.pdf | lecture notes |
| Renormalization | Concrete | mat.univie.ac.at/~neum/physfaq/topics/ren1 | article |
| Renormalization | Concrete | Introduction to Renormalization | article |
| Renormalization | Concrete | Quantum Renormalisation Made Easy | Q&A |
| Renormalization | Concrete | Why Renormalisation in Quantum Theory Needs a Cutoff | Q&A |
| Renormalization | Concrete | No-Nonsense Quantum Field Theory | book |
| Renormalization | Abstract | RENORMALIZATION AND GAUGE INVARIANCE | lecture notes |
| Renormalization | Abstract | Exposing the Machinery of Infinite Renormalization | paper |
| Renormalization | Abstract | Wonderful Renormalization | lecture notes |
| Renormalization | Abstract | Renormalization for Philosophers | paper |
| Renormalization Group | Intuitive | Problems in Physics with Many Scales of Length | lecture notes |
| Renormalization Group | Intuitive | frankwilczek.com/Wilczek_Easy_Pieces/172_Unification_of_Couplings.pdf | lecture notes |
| Renormalization Group | Concrete | Renormalization: An Introduction to Renormalization, the Renormalization Group and the Operator-Product Expansion | book |
| Renormalization Group | Concrete | No-Nonsense Quantum Field Theory | book |
| Renormalization Group | Abstract | An introduction to the nonperturbative renormalization group | paper |
| Renormalization Group | Abstract | Scaling, universality, and renormalization: Three pillars of modern critical phenomena | lecture notes |
| Renormalization Group | Abstract | 6 Lectures on QFT, RG and SUSY | lecture notes |
| Renormalization Group | Abstract | Dimensional Analysis in field theory | paper |
| Spinors | Intuitive | Dirac's belt trick for spin 1/2 particle | video |
| Spinors | Intuitive | Dirac | Greg Egan | article |
| Spinors | Intuitive | Dirac String Trick | article |
| Spinors | Intuitive | Plate trick - Wikipedia | article |
| Spinors | Concrete | An introduction to spinors | paper |
| Spinors | Concrete | A Child’s Guide to Spinors | lecture notes |
| Spinors | Concrete | See also http://www-personal.umich.edu/~williams/notes/spinor.pdf | lecture notes |
| Spinors | Concrete | users.physics.ox.ac.uk/~Steane/teaching/rel_C_spinors.pdf | lecture notes |
| Spinors | Concrete | physics.stackexchange.com/questions/74682/introduction-to-spinors-in-physics-and-their-relation-to-representations/11... | Q&A |
| Spinors | Concrete | No-Nonsense Quantum Field Theory | book |
| Spinors | Abstract | Sir Michael Atiyah, What is a Spinor ? | video |
| Spinors | Abstract | Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry | paper |
| Stacks | Abstract | Mirror Symmetry, Hitchin's Equations, And Langlands Duality | paper |
| Statistical Distribution Functions | Concrete | physics.stackexchange.com/questions/210552/what-really-is-a-dirac-delta-function/210557#210557 | Q&A |
| Statistics | Concrete | A Brief Introduction to Probability & Statistics | article |
| Statistics | Concrete | Introduction to the concept of likelihood and its applications | article |
| Statistics | Concrete | What is Statistical Significance? | article |
| Statistics | Concrete | Decision Trees, Explained To Kids | Science 2.0 | article |
| Statistics | Concrete | Stats without Tears | article |
| Statistics | Concrete | DISCOVERING THE SIGNIFICANCE OF 5σ | paper |
| Statistics | Abstract | Statistical tests, P values, confidence intervals, and power: a guide to misinterpretations | article |
| Statistics | Abstract | Probability Theory as Extended Logic | article |
| Statistics | Abstract | Probability Theory: The Logic of Science | book |
| Symplectic Structure | Intuitive | A Fight to Fix Geometry’s Foundations | article |
| Symplectic Structure | Concrete | Why symplectic geometry is the natural setting for classical mechanics | article |
| Symplectic Structure | Concrete | Phase Spaces of Mechanical Systems are Symplectic Manifolds" in the book Symmetry in Mechanics | article |
| Topology | Concrete | Selected topological concepts used in physics - An introductory exposition | lecture notes |
| Topology | Concrete | Open Sets Are Everything | article |
| Topology | Concrete | The Fundamental Group: A Primer | Math ∩ Programming | article |
| Topology | Concrete | Homology Theory: A Primer | Math ∩ Programming | article |
| Topology | Concrete | Topological Spaces: A Primer | Math ∩ Programming | article |
| Wigner's Little Groups | Concrete | A good explanation can be found at page 8 in... | lecture notes |
| Wigner's Little Groups | Concrete | Another great introduction is section 2 here https://arxiv.org/pdf/1709.04891.pdf | paper |
| Angular Momentum | Concrete | What is angular momentum anyway | article |
| Boundary Conditions | Concrete | What Are Boundary Conditions? Numerics Background | SimScale | article |
| Boundary Conditions | Concrete | THE PHYSICS OF WAVES | lecture notes |
| Energy | Intuitive | Force and energy: which is more real? | Gravity and Levity | article |
| Energy | Intuitive | The Universe is a giant energy minimization machine | Gravity and Levity | article |
| Energy | Intuitive | The “where did the energy come from?” game | Gravity and Levity | article |
| Energy | Intuitive | The equivalence of mass and energy: the “center of energy” | Gravity and Levity | article |
| Entropy | Intuitive | Entropy and gambling | Gravity and Levity | article |
| Entropy | Intuitive | Entropy? Honest! | paper |
| Entropy | Concrete | ENTROPY: A GUIDE FOR THE PERPLEXED | paper |
| Mass | Intuitive | The equivalence of mass and energy: the “center of energy” | Gravity and Levity | article |
| Mass | Intuitive | nautil.us/issue/54/the-unspoken/physics-has-demoted-mass | article |
| Mass | Intuitive | Origins of Mass | paper |
| Mass | Abstract | Mass in Quantum Yang-Mills Theory | paper |
| Quantum Numbers | Concrete | jakobschwichtenberg.com/what-are-quantum-numbers/ | article |
| Quantum Numbers | Concrete | No-Nonsense Quantum Mechanics | book |
| Spin | Intuitive | Spin: The Quantum Property That Should Have Been Impossible | article |
| Spin | Intuitive | What exactly is the 'spin' of subatomic particles such as electrons and protons? Does it have any physical... | article |
| Spin | Intuitive | forbes.com/sites/startswithabang/2017/11/21/spin-the-quantum-property-that-nature-shouldnt-possess/#20a3df076349 | article |
| Spin | Concrete | math.ucr.edu/home/baez//spin/spin.html | article |
| Spin | Concrete | For the origin of spin, see http://rickbradford.co.uk/NoethersTheorem.pdf | lecture notes |
| Spin | Concrete | Spin | article |
| Spin | Concrete | How Electrons Spin | paper |
| Spin | Concrete | No-Nonsense Quantum Mechanics | book |
| Units | Concrete | BABEL OF UNITS | paper |
| Algebra | Concrete | Learning about Geometric Algebra | article |
| Algebra | Concrete | Primer on Geometric Algebra | article |
| Algebra | Concrete | Geometric Algebra | article |
| Calculus | Concrete | A Gentle Introduction To Learning Calculus | article |
| Calculus | Concrete | A Better Explained Guide To Calculus | article |
| Calculus | Concrete | Silvanus P. Thompson, Calculus Made Easy | article |
| Calculus | Concrete | Gilbert Strang, Calculus | article |
| Calculus | Concrete | How to Self-Study Calculus: Topics and Book Guide | Q&A |
| Calculus | Concrete | Mathematical Tools for Physics | article |
| Calculus | Concrete | mathinsight.org/thread/multivar | article |
| Calculus | Concrete | Essence of calculus | video |
| Calculus | Concrete | Geometric Calculus 0 | video |
| Calculus | Concrete | No-Nonsense Classical Mechanics | book |
| Configuration Space | Concrete | Structure and Interpretation of Classical Mechanics | article |
| Configuration Space | Concrete | No-Nonsense Classical Mechanics | book |
| Differential Equations | Concrete | TEN LESSONS I WISH I HAD LEARNED BEFORE I STARTED TEACHING DIFFERENTIAL EQUATIONS | lecture notes |
| Dimensional Analysis | Concrete | Street-fighting Mathematics | lecture notes |
| Dimensional Analysis | Concrete | Dimensional analysis for animals | High Energy PhDs | article |
| Dimensional Analysis | Concrete | Dimensional Explanations | paper |
| Dimensional Analysis | Concrete | No-Nonsense Quantum Field Theory | book |
| Dimensional Analysis | Abstract | Dimensional Analysis in field theory | paper |
| Euler's Formula | Concrete | Intuitive Understanding Of Euler’s Formula | article |
| Euler's Formula | Concrete | Easy Trig Identities With Euler’s Formula | article |
| Exponential Function | Concrete | An Intuitive Guide To Exponential Functions & e | article |
| Exponential Function | Concrete | How To Think With Exponents And Logarithms | article |
| Fourier Transform | Concrete | An Interactive Guide To The Fourier Transform | article |
| Fourier Transform | Concrete | No-Nonsense Quantum Mechanics | book |
| Hilbert Space | Concrete | chapter 2 of Twenty-First Century Quantum Mechanics: Hilbert Space to Quantum Computers | article |
| Hilbert Space | Concrete | No-Nonsense Quantum Mechanics | book |
| Imaginary Numbers | Concrete | A Visual, Intuitive Guide to Imaginary Numbers | article |
| Imaginary Numbers | Concrete | See also https://math.stackexchange.com/questions/199676/what-are-imaginary-numbers | Q&A |
| Lagrange Multiplier | Intuitive | More people should know about Lagrange multipliers | article |
| Lagrange Multiplier | Concrete | No-Nonsense Classical Mechanics | book |
| Linear Algebra | Concrete | An Intuitive Guide to Linear Algebra | article |
| Linear Algebra | Concrete | For a quick introduction, see https://minireference.com/static/tutorials/linear_algebra_in_4_pages.pdf | lecture notes |
| Linear Algebra | Concrete | and http://www.cns.nyu.edu/~eero/NOTES/geomLinAlg.pdf which explains really nicely many linear algebra in geometric... | lecture notes |
| Linear Algebra | Concrete | How to Self-study Algebra: Linear Algebra | Q&A |
| Linear Algebra | Concrete | Graphical Linear Algebra | article |
| Linear Algebra | Concrete | immersive linear algebra | article |
| Linear Algebra | Concrete | Essence of Linear Algebra | video |
| Linear Algebra | Concrete | Linear Algebra Done Wrong | article |
| Linear Algebra | Concrete | No bullshit guide to linear algebra | article |
| Linear Algebra | Concrete | Essence of linear algebra | video |
| Logarithm | Concrete | Demystifying the Natural Logarithm (ln) | article |
| Logarithm | Concrete | How To Think With Exponents And Logarithms | article |
| Logarithm | Concrete | Using Logarithms in the Real World | article |
| Phase Space | Concrete | No-Nonsense Classical Mechanics | book |
| Phase Space | Abstract | sg.symplectic geometry - How to see the Phase Space of a Physical System as the Cotangent Bundle - MathOverflow | Q&A |
| Pi / π | Concrete | Prehistoric Calculus: Discovering Pi | article |
| Random Walks | Concrete | Statistical Mechanics: Entropy, Order Parameters, and Complexity | lecture notes |
| Symmetry | Intuitive | Symmetry in Physical Laws | lecture notes |
| Tensor Calculus | Concrete | A Student's Guide to Vectors and Tensors | book |
| Tensor Calculus | Concrete | Introduction to Tensor Calculus | lecture notes |
| Trigonometric Functions | Intuitive | How To Learn Trigonometry Intuitively | article |
| Trigonometric Functions | Intuitive | Intuitive Understanding of Sine Waves | article |
| Trigonometric Functions | Intuitive | Intuition For The Law Of Cosines | article |
| Trigonometric Functions | Intuitive | Intuition For The Law Of Sines | article |
| Trigonometric Functions | Intuitive | 7 Animated GIFs That Will Make You Instantly Understand Trigonometry | article |
| Trigonometric Functions | Concrete | Teaching right triangle trigonometry, presented as a series of problems | Teaching With Problems | lecture notes |
| Variational Calculus | Concrete | No-Nonsense Classical Mechanics | book |
| Vector Calculus | Concrete | A Survival Guide to Vector Calculus | lecture notes |
| Vector Calculus | Concrete | mathinsight.org/thread/vector_algebra | article |
| Vector Calculus | Concrete | A nice introduction can be found in Section 3 of Vol. 2 of Feynman's Lectures on Physics, which are available here | book |
| Vector Calculus | Concrete | Mathematical Tools for Physics | article |
| Vector Calculus | Concrete | Geometric Calculus R & D | article |
| Vector Calculus | Concrete | Geometric Calculus 0 | video |
| Vector Calculus | Concrete | Tutorial on Geometric Calculus | video |
| Vector Calculus | Concrete | No-Nonsense Electrodynamics | book |
| Cross Product | Concrete | Vector Calculus: Understanding the Dot Product | article |
| Cross Product | Concrete | No-Nonsense Electrodynamics | book |
| Divergence | Concrete | Vector Calculus: Understanding Divergence | article |
| Divergence | Concrete | Another great discussion of the divergence in vector calculus can be found in Section 3 of Vol. 2 of Feynman's... | book |
| Divergence | Concrete | No-Nonsense Electrodynamics | book |
| Collider Physics | Concrete | Collider Physics for Theory Students | article |
| Cosmology | Concrete | The expanding universe | paper |
| Cosmology | Concrete | A Poor Man’s CMB Primer | Q&A |
| Cosmology | Concrete | Student Friendly Guide to the Cosmic Microwave Background | lecture notes |
| Flavor Physics | Concrete | Just a Taste: Lectures on Flavor Physics | paper |
| Particle Physics | Concrete | www-pnp.physics.ox.ac.uk/~mjohn/notes/BasicsLectures.pdf | lecture notes |
| Continuity Equation | Intuitive | The Perfection of the Continuity Equation, Key to the Foundations of Reality | article |
| Continuity Equation | Concrete | No-Nonsense Electrodynamics | book |
| Dirac Equation | Concrete | chapter 4 of Klauber's Student Friendly QFT book | lecture notes |
| Dirac Equation | Concrete | chapter 10 of the quantum field theory book by Matthew Schwartz | book |
| Dirac Equation | Concrete | Another great discussion, especially of question how many degrees of freedom a Dirac spinor has can be found in... | lecture notes |
| Dirac Equation | Concrete | No-Nonsense Quantum Field Theory | book |
| Einstein Equation | Intuitive | How to Invent General Relativity | article |
| Einstein Equation | Concrete | The Meaning of Einstein’s Equation | lecture notes |
| Euler-Lagrange Equations | Concrete | No-Nonsense Classical Mechanics | book |
| Euler-Lagrange Equations | Concrete | No-Nonsense Quantum Field Theory | book |
| Euler-Lagrange Equations | Abstract | project-tartarus.com/2017/07/the-euler-lagrange-equation-and-the-principle-of-least-action/ | article |
| Hamilton-Jacobi Equation | Concrete | No-Nonsense Classical Mechanics | book |
| Hamilton's Equations | Concrete | No-Nonsense Classical Mechanics | book |
| Heisenberg Equation | Concrete | No-Nonsense Quantum Mechanics | book |
| Klein-Gordon Equation | Concrete | chapter 3 of Klauber's Student Friendly QFT book | lecture notes |
| Klein-Gordon Equation | Concrete | No-Nonsense Quantum Field Theory | book |
| Maxwell Equations | Concrete | See also... | Q&A |
| Maxwell Equations | Concrete | staff.science.uu.nl/~wit00103/ftip/Ch04.pdf | lecture notes |
| Maxwell Equations | Concrete | No-Nonsense Electrodynamics | book |
| Maxwell Equations | Abstract | A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures | paper |
| The Navier-Stokes Equations | Intuitive | What Makes the Hardest Equations in Physics So Difficult? | article |
| The Navier-Stokes Equations | Intuitive | Mathematicians Find Wrinkle in Famed Fluid Equations | article |
| Newton's Second Law | Concrete | No-Nonsense Classical Mechanics | book |
| Proca Equation | Concrete | No-Nonsense Quantum Field Theory | book |
| Schrödinger Equation | Concrete | Feynman's derivation of the Schrödinger equation | lecture notes |
| Schrödinger Equation | Concrete | No-Nonsense Quantum Mechanics | book |
| Yang-Mills Equations | Abstract | Mass in Quantum Yang-Mills Theory | paper |
| Aharonov-Bohm Experiment | Concrete | The best explanation can be found here:... | lecture notes |
| Aharonov-Bohm Experiment | Concrete | See also https://www.dartmouth.edu/~dbr/topdefects.pdf | lecture notes |
| Double Slit Experiment | Intuitive | Surfing and the double-slit experiment | article |
| Double Slit Experiment | Concrete | Vol. 3 of the Feynman Lectures | book |
| LHC | Intuitive | Introduction to the LHC | article |
| LHC | Concrete | CRASH COURSE IN THE LHC | lecture notes |
| Stern-Gerlach Experiment | Intuitive | Spin and the Stern-Gerlach Experiment | article |
| Stern-Gerlach Experiment | Concrete | Feynman Lectures Vol. 3 | book |
| Stern-Gerlach Experiment | Concrete | No-Nonsense Quantum Mechanics | book |
| Hamiltonian Formalism | Concrete | Lectures on Classical Dynamics | lecture notes |
| Hamiltonian Formalism | Concrete | Many good examples can be found at... | article |
| Hamiltonian Formalism | Concrete | No-Nonsense Classical Mechanics | book |
| Hamiltonian Formalism | Abstract | Chapter 4 in http://math.ucr.edu/home/baez/classical/texfiles/2005/book/classical.pdf | book |
| Lagrangian Formalism | Intuitive | To Save Drowning People, Ask Yourself “What Would Light Do?” | article |
| Lagrangian Formalism | Concrete | Least action visualized | article |
| Lagrangian Formalism | Concrete | The Lazy Universe | book |
| Lagrangian Formalism | Concrete | Action: Forcing Energy to Predict Motion | paper |
| Lagrangian Formalism | Concrete | Lectures on Classical Mechanics | book |
| Lagrangian Formalism | Concrete | ANNOTATED BIBLIOGRAPHY ON THE PRINCIPLE OF LEAST ACTION | lecture notes |
| Lagrangian Formalism | Concrete | No-Nonsense Classical Mechanics | book |
| Lagrangian Formalism | Abstract | philsci-archive.pitt.edu/2362/1/Part1ButterfForBub.pdf | paper |
| Canonical Commutation Relations | Concrete | No-Nonsense Quantum Field Theory | book |
| Canonical Commutation Relations | Abstract | A good discussion can be found here. | Q&A |
| Coulomb's law | Concrete | No-Nonsense Electrodynamics | book |
| Gauss Law | Intuitive | Gauss's Law Explained: Derivation From Coulomb's Law | Q&A |
| Gauss Law | Concrete | No-Nonsense Electrodynamics | book |
| Lorentz Force Law | Concrete | No-Nonsense Electrodynamics | book |
| Planck's Radiation Law | Intuitive | Thermodynamics and Quanta in Plancks Work | paper |
| Planck's Radiation Law | Concrete | A better presentation of Planck's Radiation Law | paper |
| Harmonic Oscillator | Concrete | A good description of the harmonic oscillator in quantum mechanics can be found at... | lecture notes |
| Harmonic Oscillator | Concrete | No-Nonsense Classical Mechanics | book |
| Harmonic Oscillator | Concrete | No-Nonsense Quantum Mechanics | book |
| Pendulum | Intuitive | see also the nice interactive demonstration here. | article |
| Pendulum | Concrete | No-Nonsense Classical Mechanics | book |
| Pendulum | Abstract | Quantum pendulum | paper |
| Classical Electrodynamics | Intuitive | Where do electric forces come from? | article |
| Classical Electrodynamics | Intuitive | Where does magnetism come from? | article |
| Classical Electrodynamics | Concrete | Feynman Lectures Vol. 2 | book |
| Classical Electrodynamics | Concrete | No-Nonsense Electrodynamics | book |
| Gauge Models | Concrete | A good introduction can be found here http://www.damtp.cam.ac.uk/user/ch558/pdf/Gauge_theories.pdf | lecture notes |
| Gauge Models | Concrete | Also great: http://isites.harvard.edu/fs/docs/icb.topic1146666.files/IV-1-YangMills.pdf | lecture notes |
| Gauge Models | Concrete | No-Nonsense Electrodynamics | book |
| Gauge Models | Abstract | Quantum Yang-Mills Theory by Jaffe and Witten | lecture notes |
| Gauge Models | Abstract | Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results | paper |
| Gauge Models | Abstract | nice summary by Michael Nielsen | article |
| Gauge Models | Abstract | damtp.cam.ac.uk/user/dbs26/AQFT/YM.pdf | lecture notes |
| Gauge Models | Abstract | The geometrical setting of gauge theories of the Yang-Mills | paper |
| Gauge Models | Abstract | What is a gauge? | article |
| Gauge Models | Abstract | Why gauge Symmetry | paper |
| General Relativity | Intuitive | For an easy introduction to the main idea of general relativity, see... | article |
| General Relativity | Concrete | A No-Nonsense Introduction to General Relativity | lecture notes |
| General Relativity | Concrete | The Meaning of Einstein’s Equation | lecture notes |
| General Relativity | Concrete | people.carleton.edu/~nchriste/PTO000041.pdf | lecture notes |
| General Relativity | Concrete | Gravity from a particle Physicist's perspective | paper |
| Special Relativity | Intuitive | Einstein for Everyone | lecture notes |
| Special Relativity | Intuitive | The First Principle of Relativity | Of Particular Significance | article |
| Special Relativity | Intuitive | Of Galileo, Groups and What’s So Special about the Speed of Light | article |
| Special Relativity | Intuitive | Relativity visualized | article |
| Special Relativity | Concrete | Notes on Special Relativity for High-School Students | lecture notes |
| Special Relativity | Concrete | Nothing but Relativity | paper |
| Special Relativity | Concrete | Derivation of the Lorentz Transformation | lecture notes |
| Special Relativity | Concrete | A simple method for illustrating the difference between the homogeneous and inhomogeneous Lorentz groups | paper |
| Special Relativity | Concrete | Representing arbitrary boosts for undergraduates | paper |
| Special Relativity | Concrete | No-Nonsense Electrodynamics | book |
| Special Relativity | Concrete | No-Nonsense Quantum Field Theory | book |
| Axion Models | Intuitive | An Introduction To Axions | article |
| Axion Models | Concrete | The strong CP problem by Pierre Sikivie | paper |
| Axion Models | Concrete | Axions and ALPs: a very short introduction | paper |
| Axion Models | Abstract | The QCD axion, precisely | paper |
| Flavor Democracy | Concrete | Original Paper: Quark masses and Cabibbo angles | paper |
| Flavor Democracy | Concrete | Mass and flavor mixing schemes of quarks and leptons | paper |
| Flavor Democracy | Abstract | Flavour democracy and the lepton-quark hierarchy | paper |
| Flavor Democracy | Abstract | Specific breaking of chiral symmetries | paper |
| Flavor Democracy | Abstract | BCS like "pairing forces" | paper |
| Flavor Democracy | Abstract | this paper by Nambu | paper |
| Flavor Democracy | Abstract | papers by Meshkov and Kaus | paper |
| Flavor Democracy | Abstract | Radiative corrections involving heavy fermions | paper |
| Entropic Gravity | Intuitive | The Case Against Dark Matter | Quanta Magazine | article |
| Grand Unified Models | Concrete | users.physics.uoc.gr/~rosen/projects/gutFive.pdf | lecture notes |
| Grand Unified Models | Abstract | The Algebra of Grand Unified Theories | paper |
| Grand Unified Models | Abstract | Group Theory for Unified Model Building | paper |
| Grand Unified Models | Abstract | Model Building and Phenomenology in Grand Unified Theories | lecture notes |
| Grand Unified Models | Abstract | jakobschwichtenberg.com/resources-that-helped-me-understand-grand-unified-theories/ | article |
| Seesaw Models | Concrete | Low energy effects of neutrino masses | paper |
| Seesaw Models | Concrete | The Effective Lagrangian for the Seesaw Model of Neutrino Mass and Leptogenesis | paper |
| Standard Model of Particle Physics | Intuitive | Let's have a coffee with the Standard Model of particle physics! | paper |
| Standard Model of Particle Physics | Intuitive | A nice video explanation can be found here: https://cds.cern.ch/record/1279356 | paper |
| Standard Model of Particle Physics | Intuitive | Looking inside the standard model: The symmetries of the standard model | article |
| Standard Model of Particle Physics | Concrete | A nice introduction to the standard model is the series by Flip Tanedo:... | article |
| Standard Model of Particle Physics | Concrete | The Standard Model of Electroweak Interactions | paper |
| Standard Model of Particle Physics | Concrete | A resource for signs and Feynman diagrams of the Standard Model | paper |
| Standard Model of Particle Physics | Concrete | Advanced Quantum Field Theory | lecture notes |
| Standard Model of Particle Physics | Abstract | Symmetries of the Standard Model | paper |
| Quantum Chromodynamics | Intuitive | QCD and Natural Philosophy | paper |
| Quantum Electrodynamics | Concrete | Lectures on QED and QCD | paper |
| Quantum Electrodynamics | Concrete | No-Nonsense Quantum Field Theory | book |
| Quantum Electrodynamics | Abstract | quantum electrodynamics in nLab | article |
| Standard Model of Cosmology | Concrete | The Standard Model of Cosmology: A Skeptic's Guide | paper |
| Thermodynamics | Intuitive | Feynman’s Ratchet and the perpetual motion gambling scheme | Gravity and Levity | article |
| Thermodynamics | Concrete | IB classical thermodynamics (Lent 2003-2004) | lecture notes |
| Thermodynamics | Abstract | On Geometry of Phenomenological Thermodynamics | lecture notes |
| Sine-Gordon Model | Concrete | bartholomewandrews.com/projects/Skyrmions.pdf | lecture notes |
| Sine-Gordon Model | Concrete | uni-muenster.de/Physik.TP/archive/fileadmin/lehre/NumMethoden/WS0910/ScriptPDE/SineGordon.pdf | lecture notes |
| Sine-Gordon Model | Abstract | "Quantum sine-Gordon equation as the massive Thirring model" | paper |
| Cosmological Constant Problem | Intuitive | Why the Tiny Weight of Empty Space Is Such a Huge Mystery | article |
| Dark Matter | Concrete | brief primer on Dark Matter | article |
| Flavour puzzle | Concrete | The Fermion Mass Problem | paper |
| Flavour puzzle | Concrete | A Model-Building Approach to the Origin of Flavor | lecture notes |
| Flavour puzzle | Concrete | Pieces of the Flavour Puzzle by Ferruccio Feruglio | paper |
| Hierarchy Puzzle | Concrete | Naturally Speaking: The Naturalness Criterion and Physics at the LHC | paper |
| Hierarchy Puzzle | Concrete | syymmetries: Naturalness: A Pragmatist's Guide | article |
| Hierarchy Puzzle | Concrete | jakobschwichtenberg.com/hierarchy-problem/ | article |
| Strong CP Puzzle | Concrete | The experimental bound θˉ<10−10 comes from the observation that the dipole moment of the neutron is... | paper |
| Strong CP Puzzle | Concrete | jakobschwichtenberg.com/demystifying-the-qcd-vacuum-part-1/ | article |
| Strong CP Puzzle | Concrete | jakobschwichtenberg.com/demystifying-the-qcd-vacuum-part-2/ | article |
| Strong CP Puzzle | Concrete | jakobschwichtenberg.com/demystifying-the-qcd-vacuum-part-3-the-untold-story/ | article |
| Strong CP Puzzle | Concrete | jakobschwichtenberg.com/demystifying-the-qcd-vacuum-part-4-physical-implications-of-theta/ | article |
| Strong CP Puzzle | Concrete | jakobschwichtenberg.com/demystifying-the-qcd-vacuum-part-5-anomalies-and-the-strong-cp-problem/ | article |
| Strong CP Puzzle | Concrete | The Strong CP Problem Revisited | paper |
| Strong CP Puzzle | Concrete | GAUGE THEORIES IN THREE DIMENSIONS (= AT FINITE TEMPERATURE) | lecture notes |
| Bell's Theorem | Intuitive | A particularly nice interactive explanation can be found here, and also here. | article |
| Bell's Theorem | Intuitive | A particularly nice interactive explanation can be found here, and also here. | article |
| Bell's Theorem | Intuitive | The Quantum Theory and Reality by d'Espagnat | lecture notes |
| Bell's Theorem | Intuitive | this reddit comment | Q&A |
| Bell's Theorem | Intuitive | The mystery of the quantum cakes | lecture notes |
| Bell's Theorem | Concrete | A simple proof of Bell's inequality | paper |
| Bell's Theorem | Concrete | Understanding Bell’s theorem part 1: the simple version | More Quantum | article |
| Bell's Theorem | Concrete | Bell's Theorem with Easy Math | article |
| Bell's Theorem | Concrete | free PDF | lecture notes |
| Bell's Theorem | Concrete | What could not be in Feynman lectures: Bell inequalities | lecture notes |
| Bell's Theorem | Abstract | Nature article | paper |
| Bell's Theorem | Abstract | No extension of quantum theory can have improved predictive power | paper |
| The Coleman-Mandula Theorem | Abstract | New Symmetry Concepts for Spacetime and Unification | lecture notes |
| CPT Theorem | Abstract | The Pin Groups in Physics: C, P, and T | paper |
| Gauss-Bonnet Theorem | Concrete | A fantastic introduction that explains the Gauss-Bonnet theorem in intuitive terms is Geometry and topology in... | Q&A |
| Goldstone's theorem | Concrete | For a nice summary see http://pages.physics.cornell.edu/~ajd268/Notes/GoldstoneBosons.pdf | lecture notes |
| Noether's Theorems | Intuitive | Problems you can solve just by looking at them: The meaning of Noether’s Theorem | article |
| Noether's Theorems | Intuitive | physics.stackexchange.com/questions/325916/laymans-version-of-noethers-theorem-or-the-intuition-behind-it/325920#325920 | Q&A |
| Noether's Theorems | Concrete | Noether's Theorem in a Nutshell | article |
| Noether's Theorems | Concrete | Good descriptions can be found at http://users.physik.fu-berlin.de/~kleinert/b6/psfiles/Chapter-7-conslaw.pdf and here: | lecture notes |
| Noether's Theorems | Concrete | www3.nd.edu/~kbrading/Research/WhichSymmetryStudiesJuly01.pdf | lecture notes |
| Noether's Theorems | Concrete | snu.edu/Websites/snuokc/images/Physics/Noethers-Theorem.pdf | lecture notes |
| Noether's Theorems | Concrete | No-Nonsense Classical Mechanics | book |
| Noether's Theorems | Abstract | Use the Moment Map, not Noether’s Theorem | article |
| Noether's Theorems | Abstract | dg.differential geometry - Reference for Noether's theorem - MathOverflow | Q&A |
| Noether's Theorems | Abstract | Section 3.4.3 in http://math.ucr.edu/home/baez/classical/texfiles/2005/book/classical.pdf where he shows that the... | book |
| Noether's Theorems | Abstract | damtp.cam.ac.uk/user/tong/qft/qft.pdf | lecture notes |
| Noether's Theorems | Abstract | physics.stackexchange.com/questions/19847/whats-the-interpretation-of-feynmans-picture-proof-of-noethers-theorem | Q&A |
| Noether's Theorem for Fields | Concrete | No-Nonsense Quantum Field Theory | book |
| Spin-Statistics Theorem | Concrete | Spin, Statistics, CPT and All That Jazz | article |
| Spin-Statistics Theorem | Concrete | The spin-statistics connection: Some pedagogical remarks in response to Neuenschwander’s question | lecture notes |
| Weinberg-Witten Theorem | Concrete | A good introduction to the theorem and its meaning can be found in... | article |
| Weinberg-Witten Theorem | Concrete | this great post | Q&A |
| Classical Field Theory | Concrete | Let's Learn About Waveforms | article |
| Classical Field Theory | Concrete | Introduction to Classical Field Theory | article |
| Classical Field Theory | Concrete | Some classical properties of the non-abelian Yang-Mills theories | paper |
| Classical Field Theory | Concrete | No-Nonsense Quantum Field Theory | book |
| Classical Field Theory | Abstract | Classical Field Theory | lecture notes |
| Classical Mechanics | Concrete | No-Nonsense Classical Mechanics | book |
| Hamiltonian Mechanics | Concrete | No-Nonsense Classical Mechanics | book |
| Hamiltonian Mechanics | Abstract | Lectures on Mechanics | lecture notes |
| Hamiltonian Mechanics | Abstract | See page 471 in Road to Reality by R. Penrose, page 167 in Geometric Methods of Mathematical Physics by B. Schutz... | paper |
| Hamiltonian Mechanics | Abstract | Classical Mechanics versus Thermodynamics (Part 2) | Azimuth | article |
| Koopman-von-Neumann Mechanics | Concrete | "Koopman von Neumann Mechanics, and a Step Beyond" | lecture notes |
| Koopman-von-Neumann Mechanics | Concrete | nice answer at StackExchange | Q&A |
| Koopman-von-Neumann Mechanics | Concrete | Topics in Koopman-von Neumann Theory | paper |
| Koopman-von-Neumann Mechanics | Concrete | No-Nonsense Classical Mechanics | book |
| Lagrangian Mechanics | Concrete | No-Nonsense Classical Mechanics | book |
| Lagrangian Mechanics | Abstract | Lectures on Mechanics | lecture notes |
| Lagrangian Mechanics | Abstract | See page 471 in Road to Reality by R. Penrose, page 167 in Geometric Methods of Mathematical Physics by B. Schutz... | paper |
| Newtonian Mechanics | Concrete | For a nice quick introduction, see https://minireference.com/static/tutorials/mech_in_7_pages.pdf | lecture notes |
| Newtonian Mechanics | Concrete | A great introduction is: http://math.ucr.edu/home/baez/classical/texfiles/2005/book/classical.pdf | book |
| Newtonian Mechanics | Concrete | first volume of the Feynman lectures | book |
| Newtonian Mechanics | Concrete | A great resource to understand many of the most important mechanics systems is https://www.myphysicslab.com/. It's a... | article |
| Newtonian Mechanics | Concrete | New Foundations for Classical Mechanics | book |
| Newtonian Mechanics | Concrete | The Science of Mechanics | book |
| Newtonian Mechanics | Concrete | No-Nonsense Classical Mechanics | book |
| Newtonian Mechanics | Abstract | Classical Dynamics | David Tong | lecture notes |
| Newtonian Mechanics | Abstract | A great book that describes the high-level perspective on classical mechanics is "Introduction to Mechanics and... | book |
| Newtonian Mechanics | Abstract | Foundations of Mechanics | lecture notes |
| Quantum Field Theory | Concrete | No-Nonsense Quantum Field Theory | book |
| Canonical Quantum Field Theory | Intuitive | Matt Strassler | article |
| Canonical Quantum Field Theory | Intuitive | “Our stability is but balance” — Freeman Dyson on how to imagine quantum fields | article |
| Canonical Quantum Field Theory | Intuitive | “So is the universe made of tiny springs, or isn’t it?” | article |
| Canonical Quantum Field Theory | Intuitive | the series by Flip Tanedo | article |
| Canonical Quantum Field Theory | Concrete | Quantum Field Theory | lecture notes |
| Canonical Quantum Field Theory | Concrete | helsinki.fi/~hkurkisu/cpt/Cosmo9.pdf | lecture notes |
| Canonical Quantum Field Theory | Concrete | Where do quantum field theories come from? | lecture notes |
| Canonical Quantum Field Theory | Concrete | people.fas.harvard.edu/~xiyin/Site/Notes_files/253b_Lectures.pdf | lecture notes |
| Canonical Quantum Field Theory | Concrete | Feynman Diagrams For Pedestrians | lecture notes |
| Canonical Quantum Field Theory | Concrete | Notes from Sidney Coleman’s Physics 253a | paper |
| Canonical Quantum Field Theory | Concrete | CORE 3.2 (COmpendium of RElations, Version 3.2) | paper |
| Canonical Quantum Field Theory | Concrete | www-personal.umich.edu/~jbourj/qft.htm | article |
| Canonical Quantum Field Theory | Concrete | No-Nonsense Quantum Field Theory | book |
| Canonical Quantum Field Theory | Abstract | Quantum Field Theory from a mathematical point of view | Q&A |
| Canonical Quantum Field Theory | Abstract | What is Quantum Field Theory | lecture notes |
| Canonical Quantum Field Theory | Abstract | How I Learned to Stop Worrying and Love QFT | Q&A |
| Canonical Quantum Field Theory | Abstract | An introduction to rigorous formulations of quantum field theory | lecture notes |
| Canonical Quantum Field Theory | Abstract | Introduction to Perturbative Quantum Field Theory | Q&A |
| Canonical Quantum Field Theory | Abstract | The Conceptual Basis of Quantum Field Theory | lecture notes |
| Canonical Quantum Field Theory | Abstract | QUANTUM FIELD THEORY a cyclist tour | lecture notes |
| Canonical Quantum Field Theory | Abstract | Perturbative algebraic quantum field theory | paper |
| Quantum Mechanics | Concrete | No-Nonsense Quantum Mechanics | book |
| Bohmian Mechanics | Intuitive | See also the visualizations of Bohmian mechanics by the university of Innsbruck here. | article |
| Bohmian Mechanics | Concrete | On Bohmian Mechanics | article |
| Bohmian Mechanics | Concrete | Why isn’t every physicist a Bohmian? | paper |
| Bohmian Mechanics | Concrete | The Pilot-Wave Perspective on Quantum Scattering and Tunneling | paper |
| Bohmian Mechanics | Concrete | De Broglie-Bohm pilot-wave theory and the foundations of quantum mechanics | article |
| Bohmian Mechanics | Concrete | www.bohmian-mechanics.net/ | article |
| Bohmian Mechanics | Concrete | No-Nonsense Quantum Mechanics | book |
| Canonical Quantum Mechanics | Intuitive | www.quantummadesimple.com | article |
| Canonical Quantum Mechanics | Intuitive | An Intuitive Explanation of Quantum Mechanics | article |
| Canonical Quantum Mechanics | Concrete | Feynman Lectures on Physics Vol. 3 | book |
| Canonical Quantum Mechanics | Concrete | Nice free lecture notes can be found here. | article |
| Canonical Quantum Mechanics | Concrete | A Cavendish Quantum Mechanics Primer | lecture notes |
| Canonical Quantum Mechanics | Concrete | No-Nonsense Quantum Mechanics | book |
| Canonical Quantum Mechanics | Abstract | Quantum Theory, Groups and Representations - An Introduction | lecture notes |
| Canonical Quantum Mechanics | Abstract | Common misconceptions regarding quantum mechanics | paper |
| Canonical Quantum Mechanics | Abstract | Kindergarten Quantum Mechanics | lecture notes |
| Canonical Quantum Mechanics | Abstract | Quantization is a mystery | paper |
| Canonical Quantum Mechanics | Abstract | Demystifying Quantum Mechanics: A Simple Universe with Quantum Uncertainty | lecture notes |
| Canonical Quantum Mechanics | Abstract | Mathematical surprises and Dirac's formalism in quantum mechanics | paper |
| Canonical Quantum Mechanics | Abstract | Quantum mechanics: Myths and facts | paper |
| Canonical Quantum Mechanics | Abstract | Geometrical Formulation of Quantum Mechanics | paper |
| Canonical Quantum Mechanics | Abstract | Classical and quantum mechanics via Lie algebras | paper |
| Path Integral Quantum Mechanics | Intuitive | The path integral: calculating the future from an unknown past | Gravity and Levity | article |
| Path Integral Quantum Mechanics | Intuitive | Reality Is: The Feynman Path Integral | article |
| Path Integral Quantum Mechanics | Concrete | Path Integrals in Quantum Theories: A Pedagogic First Step | lecture notes |
| Path Integral Quantum Mechanics | Concrete | Teaching quantum physics by the sum over paths approach and GeoGebra simulations | paper |
| Path Integral Quantum Mechanics | Concrete | Path Integral Methods and Applications | paper |
| Path Integral Quantum Mechanics | Concrete | physics.umd.edu/courses/Phys851/Luty/notes/pathint.pdf | lecture notes |
| Path Integral Quantum Mechanics | Concrete | qu-bit.narod.ru/texts/feynman.pdf | lecture notes |
| Path Integral Quantum Mechanics | Concrete | Majorana and the path-integral approach to Quantum Mechanics | lecture notes |
| Path Integral Quantum Mechanics | Concrete | No-Nonsense Quantum Mechanics | book |
| Path Integral Quantum Mechanics | Concrete | No-Nonsense Quantum Field Theory | book |
| Path Integral Quantum Mechanics | Abstract | The Feynman Propagator from a Single Path | paper |
| Path Integral Quantum Mechanics | Abstract | The Dirac Equation in Classical Statistical Mechanics | paper |
| Path Integral Quantum Mechanics | Abstract | A physical basis for the phase in Feynman path integration | paper |
| Path Integral Quantum Mechanics | Abstract | brannenworks.com/plavchan_feynmancheckerboard.pdf | lecture notes |
| Phase Space Quantum Mechanics | Intuitive | Quantum Mechanics in Phase space | paper |
| Phase Space Quantum Mechanics | Concrete | The algebraic way | paper |
| Phase Space Quantum Mechanics | Concrete | Canonical transformation in quantum mechanics | paper |
| Phase Space Quantum Mechanics | Concrete | A Concise Treatise on Quantum Mechanics in Phase Space | paper |
| Phase Space Quantum Mechanics | Concrete | Phase-space formulation - Wikipedia | article |
| Phase Space Quantum Mechanics | Concrete | Quantum Mechanics as a statistical theory | lecture notes |
| Phase Space Quantum Mechanics | Concrete | No-Nonsense Quantum Mechanics | book |
| Quantum Gravity | Concrete | Quantum Gravity | book |
| Quantum Gravity | Concrete | Quantum Gravity: The View From Particle Physics | lecture notes |
| Quantum Gravity | Concrete | Introduction to the Effective Field Theory Description of Gravity | paper |
| Quantum Gravity | Concrete | Gauge Gravity: a forward-looking introduction | paper |
| Quantum Gravity | Abstract | Towards the map of quantum gravity | paper |
| Quantum Gravity | Abstract | Strings, loops and others: a critical survey of the present approaches to quantum gravity | paper |
| Quantum Gravity | Abstract | Conceptual Problems in Quantum Gravity and Quantum Cosmology | paper |
| Quantum Gravity | Abstract | What Quantum Gravity Needs Is More Experiments - Math won’t solve quantum gravity. Experimentation will. | article |
| String Theory | Intuitive | The world in eleven dimensions: a tribute to Oskar Klein | paper |
| String Theory | Intuitive | Magic, Mystery, and Matrix | lecture notes |
| String Theory | Concrete | What is a brief formulation of string theory? | Q&A |
| String Theory | Concrete | Lectures on String Theory | lecture notes |
| String Theory | Concrete | www.superstringtheory.com | article |
| String Theory | Concrete | www.stringwiki.org | article |
| Supersymmetry | Intuitive | Supersymmetry: What Is It? | article |
| Supersymmetry | Concrete | A Supersymmetry Primer | paper |
| Supersymmetry | Concrete | Introduction to Supersymmetry | paper |
| Supersymmetry | Concrete | Complete set of Feynman rules for the MSSM | paper |
| Supersymmetry | Concrete | Introduction to Supersymmetry by Edward Witten | article |
| Statistical Mechanics | Concrete | What is Statistical Mechanics? | paper |
| Statistical Mechanics | Concrete | See also this review, and part 2. | lecture notes |
| Statistical Mechanics | Concrete | See also this review, and part 2. | lecture notes |
| Statistical Mechanics | Concrete | A great explanation how one can derive the Boltzmann distribution from the principle of maximal entropy is given at... | paper |
| Statistical Mechanics | Concrete | A crash course in Statistical Mechanics https://scholar.harvard.edu/files/noahmiller/files/statistical_mechanics.pdf | lecture notes |
| Statistical Mechanics | Concrete | No-Nonsense Classical Mechanics | book |
| Statistical Mechanics | Abstract | Statistical Field Theory | David Tong | lecture notes |
