Path Integrals and Quantum Anomalies
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Path Integrals and Quantum Anomalies by Kazuo Fujikawa
Book DescriptionThe 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.
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Book DetailsISBN: 9780198529132
(242mm x 162mm x 17mm)
Imprint: Clarendon Press
Publisher: Oxford University Press
Publish Date: 29-Apr-2004
Country of Publication: United Kingdom
Books By Author Kazuo Fujikawa
Path Integrals and Quantum Anomalies, Paperback (November 2013)» View all books by Kazuo Fujikawa
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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Author Biography - Kazuo Fujikawa
Prof. Kazuo Fujikawa, Dept of Physics, University of Tokyo, email@example.com Prof. Hiroshi Suzuki, Dept of Mathematical Sciences, Ibaraki University, firstname.lastname@example.org
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