Gauge Fields : an Introduction to Quantum Theory, Second Edition

✍ Scribed by Faddeev, L. D

• Publisher: Chapman and Hall/CRC
• Year: 2018
• Tongue: English
• Leaves: 236
• Series: Frontiers in physics
• Edition: 2nd ed
• Category: Library

✦ Table of Contents

Content: Cover
Title Page
Copyright Page
Frontiers in Physics
EDITORâ#x80
#x99
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.