Path Integrals and Quantum Anomalies
Series: International Series of Monographs on Physics; 122;
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Product details:
- Publisher OUP Oxford
- Date of Publication 29 April 2004
- ISBN 9780198529132
- Binding Hardback
- No. of pages296 pages
- Size 242x162x17 mm
- Weight 577 g
- Language English
- Illustrations 10 line drawings 0
Categories
Short description:
Self-contained introduction to the path integral method in field theory and its applications to quantum anomalies. The subjects covered in the book are relevant to particle and high-energy nuclear theory, conformal field theory, applications to condensed matter theory, and string theory. No previous knowledge beyond the advanced undergraduate quantum mechanics is assumed.
MoreLong description:
The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of field theory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicit and elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Definitely a book that will fill a need at the graduate and research level.
Table of Contents:
Genesis of quantum anomalies
Feynman path integrals and Schwinger's action principle
Quantum theory of photons and phase operators
Regularization of field theory and chiral anomalies
Jacobians in path integrals and quantum anomalies
Quantum breaking of gauge symmetry
Weyl anomaly and renormalization group
Two-dimensional field theory and bosonization
Index theorem on the lattice and chiral anomalies
Gravitational anomalies
Concluding remarks
Basics of quantum electrodynamics
Field theory in curved space-time
References with brief comments
