Gauge fields: Introduction to quantum theory

Content: Cover
 Title Page
 Copyright Page
 Frontiers in Physics
 EDITORâ#x80
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S FOREWORD
 PREFACE TO THE SECOND REVISED (RUSSIAN) EDITION
 PREFACE TO THE ORIGINAL (RUSSIAN) EDITION
 Table of Contents
 1: INTRODUCTION: FUNDAMENTALS OF CLASSICAL GAUGE FIELD THEORY
 1.1 Basic Concepts and Notation
 1.2 Geometrical Interpretation of the Yang-Mills Field
 1.3 Dynamical Models With Gauge Fields
 2: QUANTUM THEORY IN TERMS OF PATH INTEGRALS
 2.1 The Path Integral Over Phase Space
 2.2 The Path Integral in the Holomorphic Representation
 2.3 The Generating functional for the S-matrix in field theory. 2.4 The S-Matrix as a Functional on Classical Solutions2.5 The Path Integral Over Fermi Fields
 2.6 The Properties of the Path Integral in Perturbation Theory
 3: QUANTIZATION OF THE YANG-MILLS FIELD
 3.1 The Lagrangian of the Yang-Mills Field and the Specific Properties of Its Quantization
 3.2 The Hamiltonian Formulation of the Yang-Mills Field and Its Quantization
 3.3 Covariant Quantization Rules and the Feynman Diagram Technique
 3.4 Interaction with Fields of Matter
 4: RENORMALIZATION OF GAUGE THEORIES
 4.1 Examples of the Simplest Diagrams
 4.2 The R-Operation and Counterterms. 4.3 Invariant Regularizations: The Pauli-Villars Procedure4.4 The Method of Higher Covariant Derivatives
 4.5 Dimensional Regularization
 4.6 Gauge Fields in Lattice Space-Time
 4.7 Generalized Ward Identities
 4.8 The Structure of the Renormalized Action
 4.9 The Renormalized S-Matrix
 4.10 The S-Matrix in the Covariant Formalism
 4.11 Anomalous Ward Identities
 5: SOME APPLICATIONS AND CONCLUSION
 5.1 Unified Models of Weak and Electromagnetic Interactions
 5.2 Asymptotic Freedom. Gauge Theories of Strong Interactions
 BIBLIOGRAPHY NOTES. SUPPLEMENT IN PROOF: ANOMALOUS COMMUTATOR OF THE GAUSS LAWREFERENCES
 NOTATION.