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Equivariant Cohomology and Localization of Path Integrals

Buch | Hardcover
XI, 315 Seiten
2000 | 2000
Springer Berlin (Verlag)
978-3-540-67126-8 (ISBN)

Lese- und Medienproben

Equivariant Cohomology and Localization of Path Integrals - Richard J. Szabo
CHF 209,70 inkl. MwSt
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.

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 Homology 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.

"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)

Erscheint lt. Verlag 18.2.2000
Reihe/Serie Lecture Notes in Physics Monographs
Zusatzinfo XI, 315 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 534 g
Themenwelt Naturwissenschaften Physik / Astronomie Allgemeines / Lexika
Naturwissenschaften Physik / Astronomie Atom- / Kern- / Molekularphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Theoretische Physik
Schlagworte Cohomological Quantum Field Theory • cohomology • Duistermaat-Heckman Theorem • Elementarteilchen • Equivariant Cohomology • Feynman Path Integral • group theory • Homology • Lie groups • Localization Techniques • Mathematische Physik • Morse Theory • Quantenphysik • Quantum Integrability • quantum mechanics • Semi-classical Approximation • topological quantum field theory
ISBN-10 3-540-67126-9 / 3540671269
ISBN-13 978-3-540-67126-8 / 9783540671268
Zustand Neuware
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