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Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics)
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Path Integrals and Quantum Anomalies (Paperback)
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Path Integrals and Quantum Anomalies (Paperback)
Series: International Series of Monographs on Physics, 122
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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.
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