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. 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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