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. 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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