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    Path Integrals and Quantum Anomalies

    Path Integrals and Quantum Anomalies by Fujikawa, Kazuo; Suzuki, Hiroshi;

    Series: International Series of Monographs on Physics; 122;

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    Product details:

    • Publisher OUP Oxford
    • Date of Publication 21 November 2013

    • ISBN 9780199686704
    • Binding Paperback
    • No. of pages296 pages
    • Size 233x156x17 mm
    • Weight 456 g
    • Language English
    • Illustrations 10 line drawings
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    Short description:

    Self-contained introduction to the path integral method in field theory and its applications to quantum anomalies. The subjects covered are relevant to particle and high-energy nuclear theory, conformal field theory, applications to condensed matter theory, and string theory.

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    Long 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 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.

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    Table of Contents:

    Genesis of quantum anomalies
    The Feynman path integral and Schwinger's action principle
    Quantum theory of photons and the phase operator
    Regularization of field theory and chiral anomalies
    The Jacobian in path integrals and quantum anomalies
    Quantum breaking of gauge symmetry
    The 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

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