Symmetries

Quantum Field Theory · Part 1

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Table of Contents

  1. 1.6.1 Introduction: Symmetries in Physics
  2. 2.6.2 Spacetime Translations
  3. 3.6.3 Rotations and Angular Momentum
  4. 4.6.4 Lorentz Transformations
  5. 5.6.5 Internal Symmetries
  6. 6.6.6 Discrete Symmetries: C, P, T
  7. 7.6.7 Global vs. Local (Gauge) Symmetries
  8. 8.Spacetime Symmetries
  9. 9.Internal Symmetries
  10. 10.Time Translation

Key Equations

$$\phi(t, \vec{x}) \to \phi(t + \epsilon, \vec{x}) = \phi(t, \vec{x}) + \epsilon \partial_t \phi$$
$$\vec{L} = \int d^3x \, \vec{x} \times (\pi \nabla \phi)$$
$$A'^\mu(x') = \Lambda^\mu_{\phantom{\mu}\nu} A^\nu(x)$$
$$q = \begin{pmatrix} q_r \\ q_g \\ q_b \end{pmatrix}$$

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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