Anomalies in Quantum Field Theory

Paperback | June 15, 2000

byReinhold A. Bertlmann

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An anomaly is the failure of classical symmetry to survive the process of quantization and regularization. The study of anomalies is the key to a deeper understanding of quantum field theory and has played an increasingly important role in the theory over the past 20 years. This text presentsall the different aspects of the study of anomalies in an accessible and self-contained way. Much emphasis is now being placed on the formulation of the theory using the mathematical ideas of differential geometry and topology. This approach is followed here, and the derivations and calculations aregiven explicitly as an aid to students. Topics discussed include the relevant ideas from differential geometry and topology and the application of these paths (path integrals, differential forms, homotopy operators, etc.) to the study of anomalies. Chapters are devoted to abelian and nonabeliananomalies, consistent and covariant anomalies, and gravitational anomalies. The comprehensive overview of the theory presented in this book will be useful to both students and researchers.

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An anomaly is the failure of classical symmetry to survive the process of quantization and regularization. The study of anomalies is the key to a deeper understanding of quantum field theory and has played an increasingly important role in the theory over the past 20 years. This text presentsall the different aspects of the study of an...

Dr R.A. Bertlmann, Professor of Physics, Institute of Theoretical Physics, University of Vienna, Austria.

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Format:PaperbackPublished:June 15, 2000Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198507623

ISBN - 13:9780198507628

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Table of Contents

Preface1. Introduction2. Differential geometry, topology and fibre bundles3. Path integrals, FP method and BRS transformation4. Anomalies in QFT5. Path integral and anomaly6. Physics in terms of differential forms7. Chern-Simons form, homotopy operator and anomaly8. Consistent anomaly9. Stora-Zumino chain of descent equations10. Covariant anomaly11. Index and anomaly12. GravitationBibliographyIndex

Editorial Reviews

"This book is suitable for particle theorists (advanced graduate student and above) and for mathematicians who want to know how physicists get interesting ideas that bear on mathematics. Besides being comprehensive, the book manages to convey the depth and breadth of this profound subject as well asits links to mathematics. It is bound to become a standard reference on this fascinating topic."--R. Shankar, Physics Today