models:gauge_theory
| Both sides previous revision Previous revision Next revision | Previous revision | ||
|
models:gauge_theory [2018/09/24 14:31] 129.13.36.189 |
models:gauge_theory [2018/12/19 11:01] (current) jakobadmin [Concrete] |
||
|---|---|---|---|
| Line 1: | Line 1: | ||
| - | ====== Gauge Theory ====== | + | ====== Gauge Models====== |
| - | //also known as Yang-Mills theory// | + | //also known as Yang-Mills Models// |
| <tabbox Intuitive> | <tabbox Intuitive> | ||
| - | A gauge theory is a theory where the way different particles or fields interact with each other is determined by a [[advanced_tools:gauge_symmetry|gauge symmetry]]. | + | A gauge model is a model where the way different particles or fields interact with each other is determined by a [[advanced_tools:gauge_symmetry|gauge symmetry]]. |
| The particles that mediate the gauge interaction are called gauge bosons. | The particles that mediate the gauge interaction are called gauge bosons. | ||
| Line 15: | Line 15: | ||
| {{ :theories:gaugetheornoether.png?nolink&300|}} | {{ :theories:gaugetheornoether.png?nolink&300|}} | ||
| - | The basic idea behind gauge theories is that the fundamental symmetries of nature actually dictate the interactions between the fields of nature. | + | The basic idea behind gauge models is that the fundamental symmetries of nature actually dictate the interactions between the fields of nature. |
| Mathematically Yang-Mills theory is described by the [[equations:yang_mills_equations|Yang-Mills equation]]. | Mathematically Yang-Mills theory is described by the [[equations:yang_mills_equations|Yang-Mills equation]]. | ||
| Line 100: | Line 100: | ||
| * A great introduction to the geometric perspective on gauge theories can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz at page 219 | * A great introduction to the geometric perspective on gauge theories can be found in “Geometrical methods of mathematical physics” by Bernard F. Schutz at page 219 | ||
| + | * See also [[https://www.claymath.org/sites/default/files/yangmills.pdf|Quantum Yang-Mills Theory by Jaffe and Witten]] | ||
| * Another great introduction to the **fibre bundle formulation** of gauge theories with many nice pictures is [[https://arxiv.org/pdf/1607.03089.pdf|Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results]] by Adam Marsh | * Another great introduction to the **fibre bundle formulation** of gauge theories with many nice pictures is [[https://arxiv.org/pdf/1607.03089.pdf|Gauge Theories and Fiber Bundles: Definitions, Pictures, and Results]] by Adam Marsh | ||
| * A pedagogical introduction to the **loop formulation** of gauge theory can be found in the book Some Elementary Gauge Theory Concepts by Sheung Tsun Tsou, Hong-Mo Chan. | * A pedagogical introduction to the **loop formulation** of gauge theory can be found in the book Some Elementary Gauge Theory Concepts by Sheung Tsun Tsou, Hong-Mo Chan. | ||
| Line 111: | Line 112: | ||
| * Baez, J. and Muniain, J. P.: Gauge Fields, Knots and Gravity. World Scientific Publishing Co Inc, 1994. and especially, the [[http://michaelnielsen.org/blog/introduction-to-yang-mills-theories/|nice summary by Michael Nielsen]]. | * Baez, J. and Muniain, J. P.: Gauge Fields, Knots and Gravity. World Scientific Publishing Co Inc, 1994. and especially, the [[http://michaelnielsen.org/blog/introduction-to-yang-mills-theories/|nice summary by Michael Nielsen]]. | ||
| * http://www.damtp.cam.ac.uk/user/dbs26/AQFT/YM.pdf | * http://www.damtp.cam.ac.uk/user/dbs26/AQFT/YM.pdf | ||
| + | * [[https://journals.aps.org/rmp/abstract/10.1103/RevModPhys.52.175|The geometrical setting of gauge theories of the Yang-Mills]] type by M. Daniel and C. M. Viallet | ||
models/gauge_theory.1537792313.txt.gz · Last modified: 2018/09/24 12:31 (external edit)
Page Tools
Except where otherwise noted, content on this wiki is licensed under the following license: CC Attribution-Share Alike 4.0 International
