Fermions and anomalies in quantum field theories / L. Bonora.
Bonora, L., author.
2023
QC793.5.F42
Available Online

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Title Fermions and anomalies in quantum field theories / L. Bonora.
Author Bonora, L., author.
ISBN 9783031219283 (electronic bk.)
3031219287 (electronic bk.)
9783031219276
3031219279
DOI https://doi.org/10.1007/978-3-031-21928-3
Published Cham : Springer, 2023.
Language English
Description 1 online resource (434 pages) : illustrations (black and white).
Other Standard Identifiers 10.1007/978-3-031-21928-3 doi
Call Number QC793.5.F42
Dewey Decimal Classification 539.7/21
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Description based on print version record.
Series Theoretical and mathematical physics (Springer (Firm))
Available in Other Form Fermions and anomalies in quantum field theories.
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Part I. Basic tools
Chapter.1 Fermions
Chapter 2. Classical and BRST Symmetries
Chapter 3.Conformal symmetry
Part II. Anomalies and cohomology
Chapter 4.Eective actions and anomalies
Chapter 5.Cohomological analysis of anomalies
Part III. Perturbative methods for anomalies
Chapter 6.Feynman diagrams and regularizations
Chapter 7.Perturbative dieomorphism and trace anomalies
Part IV. Nonperturbative methods. (A) heat kernel
Chapter 8.Functional non-perturbative methods
Chapter 9.Explicit non-perturbative derivations
Chapter 10.Metric-axial-tensor (MAT) background
Part V. Nonperturbative methods. (B) Index theorem
Chapter 11.Geometry of anomalies
Chapter 12.Anomalies as obstructions: the Atiyah-Singer familys index theorem
Chapter 13.Global anomalies
Part VI. Special topics
Chapter 14.MAT in 2d
Chapter 15.Wess-Zumino terms
Chapter 16.Sigma model anomalies
Chapter 17.Anomalies and (super)string theories
Chapter 18. Literature and further readings.

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