Overview
- Covers many new interesting developments especially concerning trace and diffeomorphism anomalies
- Offers an update of anomalies in quantum field theories including gravity
- Is largely complementary to the pre-existing books on anomalies in particle physics
Part of the book series: Theoretical and Mathematical Physics (TMP)
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Table of contents (19 chapters)
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Front Matter
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Basic Tools
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Front Matter
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Anomalies and Cohomology
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Front Matter
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Perturbative Methods for Anomalies
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Front Matter
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Nonperturbative Methods. (A) Heat Kernel
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Front Matter
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Nonperturbative Methods. (B) Index Theorem
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Front Matter
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Special Topics
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Front Matter
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Keywords
About this book
This book presents a modern view of anomalies in quantum field theories. It is divided into six parts. The first part is preparatory covering an introduction to fermions, a description of the classical symmetries, and a short introduction to conformal symmetry. The second part of the book is devoted to the relation between anomalies and cohomology. The third part deals with perturbative methods to compute gauge, diffeomorphism and trace anomalies. In the fourth part the same anomalies are calculated with non-perturbative heat-kernel-like methods. Part five is devoted to the family's index theorem and its application to chiral anomalies, and to the differential characters and their applications to global anomalies. Part six is devoted to special topics including a complete calculation of trace and diffeomorphism anomalies of a Dirac fermion in a MAT background in two dimensions, Wess-Zumino terms in field theories, sigma models, their local and global anomalies and their cancelation, and finally the analysis of the worldsheet, sigma model, and target space anomalies of string and superstring theories.
The book is targeted to researchers and graduate students.
Authors and Affiliations
About the author
Loriano Bonora has been Professor of Field Theory at the International School for Advanced Studies (SISSA), Trieste, Italy.
Bibliographic Information
Book Title: Fermions and Anomalies in Quantum Field Theories
Authors: Loriano Bonora
Series Title: Theoretical and Mathematical Physics
DOI: https://doi.org/10.1007/978-3-031-21928-3
Publisher: Springer Cham
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023
Hardcover ISBN: 978-3-031-21927-6Published: 05 May 2023
Softcover ISBN: 978-3-031-21930-6Due: 15 April 2024
eBook ISBN: 978-3-031-21928-3Published: 04 May 2023
Series ISSN: 1864-5879
Series E-ISSN: 1864-5887
Edition Number: 1
Number of Pages: XXI, 473
Number of Illustrations: 5 b/w illustrations, 1 illustrations in colour
Topics: Elementary Particles, Quantum Field Theory, Theoretical, Mathematical and Computational Physics