Path Integrals and Quantum Anomalies - Kazuo Fujikawa, Hiroshi Suzuki

Path Integrals and Quantum Anomalies

Buch | Hardcover
296 Seiten
2004
Oxford University Press (Verlag)
978-0-19-852913-2 (ISBN)
137,15 inkl. MwSt
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.
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.

Prof. Kazuo Fujikawa, Dept of Physics, University of Tokyo, fujikawa@hep-th.phys.s.u-tokyo.ac.jp Prof. Hiroshi Suzuki, Dept of Mathematical Sciences, Ibaraki University, hsuzuki@serra.sci.ibaraki.ac.jp

1. Genesis of quantum anomalies ; 2. Feynman path integrals and Schwinger's action principle ; 3. Quantum theory of photons and phase operators ; 4. Regularization of field theory and chiral anomalies ; 5. Jacobians in path integrals and quantum anomalies ; 6. Quantum breaking of gauge symmetry ; 7. Weyl anomaly and renormalization group ; 8. Two-dimensional field theory and bosonization ; 9. Index theorem on the lattice and chiral anomalies ; 10. Gravitational anomalies ; 11. Concluding remarks ; A. Basics of quantum electrodynamics ; B. Field theory in curved space-time ; C. References with brief comments

Erscheint lt. Verlag 1.6.2004
Reihe/Serie International Series of Monographs on Physics ; 122
Zusatzinfo 10 line drawings
Verlagsort Oxford
Sprache englisch
Maße 162 x 242 mm
Gewicht 577 g
Themenwelt Mathematik / Informatik Mathematik Angewandte Mathematik
Naturwissenschaften Physik / Astronomie Hochenergiephysik / Teilchenphysik
Naturwissenschaften Physik / Astronomie Quantenphysik
Naturwissenschaften Physik / Astronomie Thermodynamik
ISBN-10 0-19-852913-9 / 0198529139
ISBN-13 978-0-19-852913-2 / 9780198529132
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