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  • Book
  • © 1993

Quantum Field Theory and Topology

Authors:

  1. Albert S. Schwarz

    1. Department of Mathematics, 565 Kerr Hall, University of California, Davis, USA

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

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Table of contents (45 chapters)

  1. Topological Methods in Quantum Field Theory

    1. Extrema of Symmetric Functionals

      • Albert S. Schwarz
      Pages 94-96

    2. Symmetric Gauge Fields

      • Albert S. Schwarz
      Pages 97-103

    3. Estimates of the Energy of a Magnetic Monopole

      • Albert S. Schwarz
      Pages 104-108

    4. Topologically Non-Trivial Strings

      • Albert S. Schwarz
      Pages 109-114

    5. Particles in the Presence of Strings

      • Albert S. Schwarz
      Pages 115-121

    6. Nonlinear Fields

      • Albert S. Schwarz
      Pages 122-127

    7. Multivalued Action Integrals

      • Albert S. Schwarz
      Pages 128-131

    8. Functional Integrals

      • Albert S. Schwarz
      Pages 132-137

    10. Quantization of Gauge Theories

      • Albert S. Schwarz
      Pages 146-157

    11. Elliptic Operators

      • Albert S. Schwarz
      Pages 158-162

    13. Determinants of Elliptic Operators

      • Albert S. Schwarz
      Pages 169-172

    14. Quantum Anomalies

      • Albert S. Schwarz
      Pages 173-182

    15. Instantons

      • Albert S. Schwarz
      Pages 183-193

    16. The Number of Instanton Parameters

      • Albert S. Schwarz
      Pages 194-198

    17. Computation of the Instanton Contribution

      • Albert S. Schwarz
      Pages 199-206

    19. Instantons in Quantum Chromodynamics

      • Albert S. Schwarz
      Pages 216-220

  2. Mathematical Background

    1. Front Matter

      Pages 221-221
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About this book

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.
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Keywords

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Reviews

"This is a very interesting book on an important topic both for physics and for mathematics." - Bulletin of the London Mathematic Society
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Authors and Affiliations

  • Department of Mathematics, 565 Kerr Hall, University of California, Davis, USA

    Albert S. Schwarz

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Bibliographic Information

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Buy it now

eBook USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 109.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

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