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. 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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