Quantum Field Theory and Topology

  • Albert S. Schwarz

Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 307)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Introduction

    1. Albert S. Schwarz
      Pages 1-5
  3. Definitions and Notations

    1. Albert S. Schwarz
      Pages 6-9
  4. The Basic Lagrangians of Quantum Field Theory

    1. Front Matter
      Pages 11-11
    2. Albert S. Schwarz
      Pages 13-16
    3. Albert S. Schwarz
      Pages 17-18
    4. Albert S. Schwarz
      Pages 19-23
    5. Albert S. Schwarz
      Pages 24-27
    6. Albert S. Schwarz
      Pages 37-39
  5. Topological Methods in Quantum Field Theory

    1. Front Matter
      Pages 41-41
    2. Albert S. Schwarz
      Pages 43-55
    3. Albert S. Schwarz
      Pages 56-61
    4. Albert S. Schwarz
      Pages 62-67
    5. Albert S. Schwarz
      Pages 68-73
    6. Albert S. Schwarz
      Pages 74-79
    7. Albert S. Schwarz
      Pages 80-82
    8. Albert S. Schwarz
      Pages 83-88

About this book

Introduction

In recent years topology has firmly established itself as an important part of the physicist's mathematical arsenal. It has many applications, first of all in quantum field theory, but increasingly also in other areas of physics. The main focus of this book is on the results of quantum field theory that are obtained by topological methods. Some aspects of the theory of condensed matter are also discussed. Part I is an introduction to quantum field theory: it discusses the basic Lagrangians used in the theory of elementary particles. Part II is devoted to the applications of topology to quantum field theory. Part III covers the necessary mathematical background in summary form. The book is aimed at physicists interested in applications of topology to physics and at mathematicians wishing to familiarize themselves with quantum field theory and the mathematical methods used in this field. It is accessible to graduate students in physics and mathematics.

Keywords

Condensed Matter Gauge theory Lie group Quantum Field Theory Topology

Authors and affiliations

  • Albert S. Schwarz
    • 1
  1. 1.Department of Mathematics, 565 Kerr HallUniversity of CaliforniaDavisUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-02943-5
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-08130-9
  • Online ISBN 978-3-662-02943-5
  • Series Print ISSN 0072-7830
  • About this book
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