Energy Momentum

Quantum Field Theory · Part 1

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Table of Contents

  1. 1.7.1 Introduction
  2. 2.7.2 Canonical Energy-Momentum Tensor
  3. 3.7.3 Example: Real Scalar Field
  4. 4.7.4 Electromagnetic Field
  5. 5.7.5 Dirac Field
  6. 6.7.6 Symmetry of the Energy-Momentum Tensor
  7. 7.7.7 Conserved Charges
  8. 8.7.8 Coupling to Gravity
  9. 9.Physical Meaning of Components
  10. 10.Definition from Noether's Theorem

Key Equations

$$\delta \phi = -\epsilon^\mu \partial_\mu \phi$$
$$\boxed{T^{\mu\nu} = \partial^\mu \phi \partial^\nu \phi - g^{\mu\nu}\left[\frac{1}{2}\partial_\alpha \phi \partial^\alpha \phi - \frac{1}{2}m^2 \phi^2\right]}$$
$$T^{00} = \frac{1}{2}(\vec{E}^2 + \vec{B}^2)$$
$$E = \int d^3x \, T^{00}$$

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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