Propagators

Quantum Field Theory · Part 2

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Table of Contents

  1. 1.4.1 Why Do We Need Propagators?
  2. 2.4.2 The Feynman Propagator
  3. 3.4.3 Explicit Form in Position Space
  4. 4.4.4 Momentum Space Propagator
  5. 5.4.5 Green's Function Interpretation
  6. 6.4.6 Other Types of Propagators
  7. 7.4.7 Causality and Spacelike Separation
  8. 8.4.8 Connection to Feynman Diagrams
  9. 9.Practice Problems
  10. 10.Building Blocks of Feynman Diagrams

Key Equations

$$\langle f | \hat{S} | i \rangle$$
$$D_F(x-y) = \int \frac{d^3k}{(2\pi)^3} \frac{1}{2\omega_k} \left[ \theta(t_x - t_y) e^{-ik \cdot (x-y)} + \theta(t_y - t_x) e^{ik \cdot (x-y)} \right]$$
$$(\Box + m^2) D_F(x-y) = -i\delta^4(x-y)$$
$$D_A(x-y) = -\theta(t_y - t_x) \langle 0 | [\hat{\phi}(x), \hat{\phi}(y)] | 0 \rangle$$

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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