Quantization of Fields with Constraints

  • Dmitriy M. Gitman
  • Igor V. Tyutin

Part of the Springer Series in Nuclear and Particle Physics book series (SSNUCLEAR)

Table of contents

  1. Front Matter
    Pages I-X
  2. Dmitriy M. Gitman, Igor V. Tyutin
    Pages 1-12
  3. Dmitriy M. Gitman, Igor V. Tyutin
    Pages 13-80
  4. Dmitriy M. Gitman, Igor V. Tyutin
    Pages 81-112
  5. Dmitriy M. Gitman, Igor V. Tyutin
    Pages 113-169
  6. Dmitriy M. Gitman, Igor V. Tyutin
    Pages 170-200
  7. Dmitriy M. Gitman, Igor V. Tyutin
    Pages 201-216
  8. Back Matter
    Pages 254-291

About this book


Gauge field theories underlie all models now used in elementary particle physics. These theories refer to the class of singular theories which are also theories with constraints. The quantization of singular theories remains one of the key problems of quantum field theory and is being intensively discussed in the literature. This book is an attempt to fill the need for a comprehensive analysis of this problem, which has not heretofore been met by the available monographs and reviews. The main topics are canonical quantization and the path integral method. In addition, the Lagrangian BRST quantization is completely described, for the first time in a monograph. The book also presents a number of original results obtained by the authors, in particular, a complete description of the physical sector of an arbitrary gauge theory, quantization of singular theories with higher theories with time-dependent constraints, and correct derivatives, quantization of canonical quantization of theories of a relativistic point-like particle. As a general illustration we present quantization of field theories such as electrodynamics, Yang-Mills theory, and gravity. It should be noted that this monograph is aimed not only at giving the reader the rules of quantization according to the principle "if you do it this way, it will be good", but also at presenting strong arguments based on the modem interpretation of the classical and quantum theories which show that these methods· are the natural, if not the only possible ones.


Particle Physics elementary particle elementary particle physics path integral quantum field quantum field theory

Authors and affiliations

  • Dmitriy M. Gitman
    • 1
  • Igor V. Tyutin
    • 2
  1. 1.MoscowUSSR
  2. 2.MoscowUSSR

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-83940-5
  • Online ISBN 978-3-642-83938-2
  • Series Print ISSN 0939-1150
  • Buy this book on publisher's site