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Quantum Field Theory · Part 4

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Table of Contents

  1. 1.3.1 The Free Dirac and Maxwell Lagrangians
  2. 2.3.2 Gauging the U(1) Symmetry
  3. 3.3.3 The Full QED Lagrangian
  4. 4.3.4 Summary of Gauge Transformations
  5. 5.3.5 The Fine Structure Constant
  6. 6.Key Concepts

Key Equations

$$\mathcal{L}_{\text{Dirac}} = \bar{\psi}(i\gamma^\mu\partial_\mu - m)\psi$$
$$J^\mu = \bar{\psi}\gamma^\mu\psi, \qquad \partial_\mu J^\mu = 0$$
$$\psi(x) \to e^{ie\alpha(x)}\psi(x)$$
$$\boxed{D_\mu \equiv \partial_\mu + ieA_\mu}$$

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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