Fermions and Anomalies in Quantum Field Theories
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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| Format: | Elektronički e-knjiga |
| Jezik: | engleski |
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Springer Nature Switzerland : Imprint: Springer,
2023.
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| Izdanje: | 1st ed. 2023. |
| Serija: | Theoretical and Mathematical Physics,
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| Online pristup: | https://doi.org/10.1007/978-3-031-21928-3 |
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Sadržaj:
- Part I. Basic tools
- Chapter.1 Fermions
- Chapter 2. Classical and BRST Symmetries
- Chapter 3.Conformal symmetry
- Part II. Anomalies and cohomology
- Chapter 4.Effective actions and anomalies
- Chapter 5.Cohomological analysis of anomalies
- Part III. Perturbative methods for anomalies
- Chapter 6.Feynman diagrams and regularizations
- Chapter 7.Perturbative diffeomorphism 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 family’s 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.