Ebook: Quantization of Fields with Constraints
- Tags: Quantum Physics, Elementary Particles Quantum Field Theory, Nuclear Physics Heavy Ions Hadrons, Nuclear Fusion, Quantum Information Technology Spintronics
- Series: Springer Series in Nuclear and Particle Physics
- Year: 1990
- Publisher: Springer-Verlag Berlin Heidelberg
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages I-X
Introduction....Pages 1-12
The Structure of the Classical Singular Theory....Pages 13-80
Canonical Quantization of Singular Theories....Pages 81-112
Canonical Quantization of Physical Field Theories....Pages 113-169
Lagrangian Quantization of Gauge Theories....Pages 170-200
Gauge Theories of Special Form....Pages 201-216
Quantization of Singular Theories with Higher Derivatives and Theories with Time-Dependent Constraints....Pages 217-253
Back Matter....Pages 254-291
Content:
Front Matter....Pages I-X
Introduction....Pages 1-12
The Structure of the Classical Singular Theory....Pages 13-80
Canonical Quantization of Singular Theories....Pages 81-112
Canonical Quantization of Physical Field Theories....Pages 113-169
Lagrangian Quantization of Gauge Theories....Pages 170-200
Gauge Theories of Special Form....Pages 201-216
Quantization of Singular Theories with Higher Derivatives and Theories with Time-Dependent Constraints....Pages 217-253
Back Matter....Pages 254-291
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