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  • © 1993

Quantum Field Theory and Topology

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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. Front Matter

    Pages I-VIII
  2. Introduction

    1. Introduction

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

    1. Definitions and Notations

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

    1. Front Matter

      Pages 11-11
    2. The Simplest Lagrangians

      • Albert S. Schwarz
      Pages 13-16
    3. Quadratic Lagrangians

      • Albert S. Schwarz
      Pages 17-18
    4. Internal Symmetries

      • Albert S. Schwarz
      Pages 19-23
    5. Gauge Fields

      • Albert S. Schwarz
      Pages 24-27
    6. Grand Unifications

      • Albert S. Schwarz
      Pages 37-39
  5. Topological Methods in Quantum Field Theory

    1. Front Matter

      Pages 41-41
    2. Topologically Stable Defects

      • Albert S. Schwarz
      Pages 43-55
    3. Topological Integrals of Motion

      • Albert S. Schwarz
      Pages 56-61
    4. A Two-Dimensional Model. Abrikosov Vortices

      • Albert S. Schwarz
      Pages 62-67
    5. ’t Hooft—Polyakov Monopoles

      • Albert S. Schwarz
      Pages 68-73
    6. Topological Integrals of Motion in Gauge Theory

      • Albert S. Schwarz
      Pages 74-79
    7. Particles in Gauge Theories

      • Albert S. Schwarz
      Pages 80-82
    8. The Magnetic Charge

      • Albert S. Schwarz
      Pages 83-88

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.

Reviews

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

Authors and Affiliations

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

    Albert S. Schwarz

Bibliographic Information

Buy it now

Buying options

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