Equivariant Cohomology and Localization of Path Integrals
(Sprache: Englisch)
This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how...
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Klappentext zu „Equivariant Cohomology and Localization of Path Integrals “
This book, addressing both researchers and graduate students, reviews equivariant localization techniques for the evaluation of Feynman path integrals. The author gives the relevant mathematical background in some detail, showing at the same time how localization ideas are related to classical integrability. The text explores the symmetries inherent in localizable models for assessing the applicability of localization formulae. Various applications from physics and mathematics are presented. TOC:From the contents: Introduction.- Equivariant Cohomology and the Localization Principle.- Finite-Dimensional Localization Theory for Dynamical Systems.- Quantum Localization Theory for Phase Space Path Integrals.- Equivariant Localization on Simply Connected Phase Spaces: Applications to Quantum Mechanics, Group Theory and Spin Systems.- Equivariant Localization on Multiply Connected Phase Spaces: Applications to Homological and Modular Representations.- Beyond the Semi-classical Approximation.- Equivariant Localization in Cohomological Field Theory.- Appendix A: BRST Quantization.- Appendix B: Other Models of Equivariant Cohomology.- References.
Inhaltsverzeichnis zu „Equivariant Cohomology and Localization of Path Integrals “
From the contents: - Introduction
- Equivariant Cohomology and the Localization Principle
- Finite-Dimensional Localization Theory for Dynamical Systems
- Quantum Localization Theory for Phase Space Path Integrals
- Equivariant Localization on Simply Connected Phase Spaces: Applications to Quantum Mechanics, Group Theory and Spin Systems
- Equivariant Localization on Multiply Connected Phase Spaces: Applications to Homological and Modular Representations
- Beyond the Semi-classical Approximation
- Equivariant Localization in Cohomological Field Theory
- Appendix A: BRST Quantization
- Appendix B: Other Models of Equivariant Cohomology
- References
Bibliographische Angaben
- Autor: Richard J. Szabo
- 2000, xi, 315 Seiten, Maße: 15,9 x 23,8 cm, Gebunden, Englisch
- Verlag: Springer Berlin
- ISBN-10: 3540671269
- ISBN-13: 9783540671268
- Erscheinungsdatum: 18.02.2000
Sprache:
Englisch
Rezension zu „Equivariant Cohomology and Localization of Path Integrals “
"A thorough exposition of the current state of applying equivariant cohomology to quantum field theory. [...] If one takes the attitude that this material may make mathematical sense within the next fifty years, the book can be appreciated as a well-organized exposition of the topological content of quantum field theory from a physics viewpoint." -- Mathematical Reviews 2002a
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