Quantization of fields with constraints

Dmitriy M. Gitman, Igor V. Tyutin3540516794, 9783540516798

The quantization of singular field theories, in particular, gauge theories, is one of the key problems in quantum field theory. This book – which addresses the reader acquainted with the foundations of quantum field theory – provides a comprehensive analysis of this problem and techniques for its solution. The main topics are canonical quantization and the path integral method. A description of the Lagrangian BRST quantization is included as are original results obtained by the authors: presentation of the physical spectrum of arbitrary gauge theories, quantization of singular theories with higher derivatives and with time-dependent constraints, and the treatment of relativistic point-particles.