Fermions and anomalies in quantum field theories

Fermions and anomalies in quantum field theories / L. Bonora.

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...

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Bibliographic Details
Main Author: Bonora, L. (Author)
Format: eBook
Language:English
Published: Cham : Springer, 2023.
Series:Theoretical and mathematical physics (Springer (Firm))
Subjects:
Fermions.
Quantum field theory.
Fermions
Quantum field theory
Online Access:Click for online access
Table of Contents:
  • 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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