Equivariant Cohomology and Localization of Path Integrals

Richard J. Szabo (Autor)

Buch | Softcover

XI, 315 Seiten

2014
Springer Berlin (Verlag)
9783662142844 (ISBN)

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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	23.8.2014
Reihe/Serie	Lecture Notes in Physics Monographs
Zusatzinfo	XI, 315 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	498 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
	Naturwissenschaften ► Physik / Astronomie ► Theoretische Physik
Schlagworte	Cohomological Quantum Field Theory • cohomology • Duistermaat-Heckman Theorem • Equivariant Cohomology • Feynman Path Integral • group theory • Homology • Lie groups • Localization Techniques • Morse Theory • Quantum Integrability • quantum mechanics • Semi-classical Approximation • topological quantum field theory
ISBN-13	9783662142844 / 9783662142844
Zustand	Neuware