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Fermions and Anomalies in Quantum Field Theories

Springer

ISBN 978-3-031-21930-6

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Bibliografische Daten

Fachbuch

Buch. Softcover

2025

5 s/w-Abbildungen, 1 Farbabbildung.

In englischer Sprache

Umfang: xxi, 473 S.

Format (B x L): 15,5 x 23,5 cm

Verlag: Springer

ISBN: 978-3-031-21930-6

Produktbeschreibung

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.

Autorinnen und Autoren

Kundeninformationen

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

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