Equivariant Cohomology and Localization of Path Integrals
Szabo, Richard J.
Equivariant Cohomology and Localization of Path Integrals [electronic resource] / by Richard J. Szabo. - XI, 315 p. online resource. - Lecture Notes in Physics Monographs, 63 0940-7677 ; . - Lecture Notes in Physics Monographs, 63 .
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.
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.
9783540465508
10.1007/3-540-46550-2 doi
Quantum theory.
Algebraic topology.
Mathematical physics.
Topology.
Global analysis.
Elementary Particles, Quantum Field Theory.
Algebraic Topology.
Particle and Nuclear Physics.
Mathematical Methods in Physics.
Topology.
Global Analysis and Analysis on Manifolds.
QC793-793.5 QC174.45-174.52
539.72
Equivariant Cohomology and Localization of Path Integrals [electronic resource] / by Richard J. Szabo. - XI, 315 p. online resource. - Lecture Notes in Physics Monographs, 63 0940-7677 ; . - Lecture Notes in Physics Monographs, 63 .
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.
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.
9783540465508
10.1007/3-540-46550-2 doi
Quantum theory.
Algebraic topology.
Mathematical physics.
Topology.
Global analysis.
Elementary Particles, Quantum Field Theory.
Algebraic Topology.
Particle and Nuclear Physics.
Mathematical Methods in Physics.
Topology.
Global Analysis and Analysis on Manifolds.
QC793-793.5 QC174.45-174.52
539.72