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. Free online course in Quantum Field Theory (QFT). 8 parts covering classical field theory, canonical quantization, path integrals, QED, non-Abelian gauge theories, renormalization, the Standard Model,...
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