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Classical Solutions in Quantum Field Theory
This roadmap is inspired by a course given by Prof. F. Klinkhamer at the KSETA graduate school.
| Solitons | General overview, why should we care about classical solutions? | |||||||||||||
| scalar_1plus1 | Kink solution, stability of the kink, boundary conditions, topological charge | |||||||||||||
| Sine-Gordon and Thirring Model | Duality | |||||||||||||
| Abelian 2+1 Higgs Model | Vortex solution, solitons in gauge theories | |||||||||||||
| Sphalerons | ||||||||||||||
| Instantons | ||||||||||||||
| QCD Vacuum | ||||||||||||||
Recommended Textbooks
- 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
- 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.
- 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
roadmaps/classical_qft.1522055761.txt.gz ยท Last modified: 2018/03/26 09:16 (external edit)
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