Anomalies
Quantum Field Theory · Part 7
217 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.1.1 Classical Chiral Symmetry
- 2.1.2 Noether Currents
- 3.1.3 The Triangle Diagram
- 4.1.4 Physical Consequences: π⁰ → γγ Decay
- 5.1.5 Non-Abelian Anomalies
- 6.1.6 Anomaly Cancellation in the Standard Model
- 7.1.7 Global Anomalies
- 8.1.8 Atiyah-Singer Index Theorem
- 9.1.9 Anomalies Beyond the Standard Model
- 10.What is an Anomaly?
Key Equations
$$\mathcal{L} = \bar{\psi} i \gamma^\mu \partial_\mu \psi$$
$$\psi \to e^{i\alpha\gamma^5}\psi$$
$$\boxed{\partial_\mu j_5^\mu = \frac{e^2}{16\pi^2} F^{\mu\nu} \tilde{F}_{\mu\nu}}$$
$$\partial_\mu j_a^\mu = \frac{g^2}{16\pi^2} d_{abc} F_b^{\mu\nu} \tilde{F}_{c,\mu\nu}$$
Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.
Course Context
This PDF is part of the Quantum Field Theory course on CoursesHub.World. A comprehensive graduate-level course in quantum field theory. Covers classical field theory, canonical quantization, path integrals, gauge theories, renormalization, the Standard Model, and advanced ...
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