Feynman Diagrams

Quantum Field Theory · Part 3

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Table of Contents

  1. 1.5.1 Wick's Theorem
  2. 2.5.2 Feynman Diagram Basics
  3. 3.5.3 Example: φ⁴ Theory
  4. 4.5.4 Feynman Rules for φ⁴ Theory
  5. 5.5.5 Symmetry Factors
  6. 6.5.6 Loop Diagrams & Divergences
  7. 7.Example: 4-Point Function
  8. 8.Visual Elements
  9. 9.Order-by-Order Expansion
  10. 10.Position Space Rules

Key Equations

$$\boxed{T\{\phi(x_1)\cdots\phi(x_n)\} = \text{(all possible full contractions)}}$$
$$\langle 0|T\{\phi(x_1)\phi(x_2)\phi(x_3)\phi(x_4)\}|0\rangle =$$
$$\mathcal{L}_{\text{int}} = -\frac{\lambda}{4!}\phi^4$$
$$e^{-i\frac{\lambda}{4!}\int \phi^4} = 1 - i\frac{\lambda}{4!}\int d^4x \, \phi^4(x) + \frac{1}{2!}\left(-i\frac{\lambda}{4!}\right)^2\left[\int d^4x \, \phi^4(x)\right]^2 + \cdots$$

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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