Fermions and Anomalies in Quantum Field Theories [E-Book] / by Loriano 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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Full text |
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| Personal Name(s): | Bonora, Loriano, author |
| Edition: |
1st edition 2023. |
| Imprint: |
Cham :
Springer,
2023
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| Physical Description: |
XXI, 473 pages 6 illustrations, 1 illustration in color (online resource) |
| Note: |
englisch |
| ISBN: |
9783031219283 |
| DOI: |
10.1007/978-3-031-21928-3 |
| Series Title: |
Theoretical and Mathematical Physics
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| Subject (LOC): |
- 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.