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Equivariant Cohomology and Localization of Path Integrals

  • Richard J. Szabo

Part of the Lecture Notes in Physics Monographs book series (LNPMGR, volume 63)

About this book

Introduction

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.

Keywords

Cohomological Quantum Field Theory Duistermaat-Heckman Theorem Equivariant Cohomology Feynman Path Integral Lie Groups Localization Techniques Morse Theory Quantum Integrability Quantum mechanics Semi-classical Approximation Topological Quantum Field Theory cohomology group theory homology

Authors and affiliations

  • Richard J. Szabo
    • 1
    • 2
  1. 1.The Niels Bohr InstituteCopenhagen ØDenmark
  2. 2.Department of Physics - Theoretical PhysicsUniversity of OxfordOxfordUK

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-46550-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 2000
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-67126-8
  • Online ISBN 978-3-540-46550-8
  • Series Print ISSN 0940-7677
  • Buy this book on publisher's site