roadmaps:classical_qft
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roadmaps:classical_qft [2018/03/26 11:16] jakobadmin |
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| - | ====== Classical Solutions in Quantum Field Theory ====== | ||
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| - | This roadmap is inspired by a course given by [[https://www.itp.kit.edu/memberpages/klinkhamer|Prof. F. Klinkhamer]] at the [[http://www.kseta.kit.edu/index.php|KSETA graduate school]]. | ||
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| - | <diagram> | ||
| - | | AA|~@2| General overview, why should we care about classical solutions? |AA=[[advanced_notions:quantum_field_theory:solitons]] | ||
| - | | |!@4| | | | | | | ||
| - | | AA|~@2| Kink solution, stability of the kink, boundary conditions, topological charge |AA=[[models:scalar_1plus1]] | ||
| - | | |!@4| | | | | | | ||
| - | | BB|~@2| Duality |BB=[[models:sine_gordon|Sine-Gordon]] and [[models:thirring|Thirring Model]] | ||
| - | | |!@4| | | | | | | ||
| - | | BB|~@2| Vortex solution, solitons in gauge theories |BB=[[models:abelian_higgs_2plus1|Abelian 2+1 Higgs Model]] | ||
| - | | |!@4| | | | | | | ||
| - | | BB|| |BB=[[advanced_notions:quantum_field_theory:sphalerons]] | ||
| - | | |!@4| | | | | | | ||
| - | | BB|| |BB=[[advanced_notions:quantum_field_theory:instantons]] | ||
| - | | |!@4| | | | | | | ||
| - | | BB|| |BB=[[advanced_notions:quantum_field_theory:qcd_vacuum]] | ||
| - | </diagram> | ||
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| - | ---- | ||
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| - | **Recommended Textbooks** | ||
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| - | * Solitons and Instantons by Ramamurti Rajaraman - is the best introductory book on solitons and related topics | ||
| - | * Topological Solitons by Manton and Sutcliff - is the second-best introductory book on solitons | ||
| - | * [[http://scipp.ucsc.edu/~haber/ph218/classicallumpsreview_Infanger.pdf|Classical lumps and their quantum descendants]] by Sidney Coleman - a "must read" lecture for anyone interested in solitons | ||
| - | * Classical Solutions in Quantum Field Theory: Solitons and Instantons by Erick Weinberg - contains several helpful chapters | ||
| - | * Classical Theory of Gauge Fields by Rubakov - is great to dive deeper and contains many alternative perspectives that can't be found anywhere else. | ||
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| - | * Quarks, Leptons & Gauge Fields by Kerson Huang - contains several extremely helpful chapters regarding solitons etc. | ||
| - | * Quantum Field Theory by Lewis H. Ryder - contains, like Huang's book - a particular nice chapter on solitons and instantons | ||
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roadmaps/classical_qft.1522055761.txt.gz ยท Last modified: 2018/03/26 09:16 (external edit)
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