Instantons
Quantum Field Theory · Part 7
231 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.2.1 Path Integral in Euclidean Time
- 2.2.2 Example: Double-Well Potential
- 3.2.3 Instantons in Yang-Mills Theory
- 4.2.4 The BPST Instanton
- 5.2.5 Topological Charge and Pontryagin Index
- 6.2.6 Theta Vacua and the Strong CP Problem
- 7.2.7 The Axion Solution
- 8.2.8 Physical Effects of Instantons
- 9.2.9 Semiclassical Approximation
- 10.What is an Instanton?
Key Equations
$$\langle q_f, t_f | q_i, t_i \rangle = \int \mathcal{D}q(t) \, e^{iS[q]}$$
$$S_E[\text{instanton}] = \frac{4ma^3\omega}{3\sqrt{2}}$$
$$A_\mu^a(x) = \frac{2\eta_{\mu\nu}^a (x-x_0)_\nu}{(x-x_0)^2 + \rho^2}$$
$$\mathcal{L}_\theta = \frac{\theta g^2}{32\pi^2} F_{\mu\nu}^a \tilde{F}^{a,\mu\nu}$$
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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