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advanced_notions:quantum_field_theory:solitons [2018/03/26 11:14] jakobadmin [Researcher] |
advanced_notions:quantum_field_theory:solitons [2018/03/28 08:53] 207.46.13.214 ↷ Links adapted because of a move operation |
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<tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
- | [[advanced_tools:feynman_diagrams|Feynman diagrams]] do not describe everything that can happen in a [[theories:quantum_theory:quantum_field_theory|quantum field theory]]. There can be classical solutions of the field equations that describe larger lumps of field excitations that aren't describable by Feynman diagrams. | + | [[advanced_tools:feynman_diagrams|Feynman diagrams]] do not describe everything that can happen in a [[theories:quantum_field_theory|quantum field theory]]. There can be classical solutions of the field equations that describe larger lumps of field excitations that aren't describable by Feynman diagrams. |
Classical solutions of the field equations with finite energy are called solitons. | Classical solutions of the field equations with finite energy are called solitons. | ||
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* Non-linearity of the wave equations can result in waves that get __steeper__ over time. A good example are the waves that can be observed at a beach. | * Non-linearity of the wave equations can result in waves that get __steeper__ over time. A good example are the waves that can be observed at a beach. | ||
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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 | ||
<tabbox Researcher> | <tabbox Researcher> |