Anomalies in Quantum Field Theory
- Description
- Features
- Contents
- Authors
- Reviews
- Lecturer Resources
- Teacher Resources
- Student Resources
- Sample Pages
- ebook
- 'A comprehensive monograph on anomalies has long been missing – Bertlmann's book thus represents a highly desirable filling of the gap… Bertlmann's book can be warmly recommended to Ph.D. students, lecturers and researchers working in the quantum field theory and mathematical physics, since its contents are unique within the existing literature and cover, in an essential way, the development of modern methods in this area.' - EMS
- 'It is essentially self-contained and thus deserves to be called a textbook. Both mathematicians and physicists can learn from this volume.' -CERN Courier
An anomaly is the failure of a classical symmetry to survive the process of quantization and regularization. The study of anomalies has played an important role in quantum field theory in the last 20 years, a role which is described clearly and comprehensively in this book. The author approaches the subject through differential geometry, a method that has received much attention in recent years, and gives detailed derivations and calculations which will be invaluable to students.
Preface
1. Introduction
2. Differential geometry, topology and fibre bundles
3. Path integrals, FP method and BRS transformation
4. Anomalies in QFT
5. Path integral and anomaly
6. Physics in terms of differential forms
7. Chern-Simons form, homotopy operator and anomaly
8. Consistent anomaly
9. Stora-Zumino chain of descent equations
10. Covariant anomaly
11. Index and anomaly
12. Gravitation
Bibliography
Index
Reinhold A. Bertlmann , Professor of Physics, Institute of Theoretical Physics, University of Vienna, Austria