Correlation Functions

Quantum Field Theory · Part 3

212 KB10 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

Table of Contents

  1. 1.4.1 What Are Correlation Functions?
  2. 2.4.2 Path Integral Formula
  3. 3.4.3 Free Field Theory
  4. 4.4.4 Connected vs Disconnected
  5. 5.4.5 Momentum Space
  6. 6.4.6 Physical Interpretation
  7. 7.2-Point Function
  8. 8.4-Point Function
  9. 9.Odd Point Functions
  10. 10.LSZ Connection to S-Matrix

Key Equations

$$\boxed{G^{(n)}(x_1,\ldots,x_n) = \langle 0|T\{\phi(x_1)\cdots\phi(x_n)\}|0\rangle}$$
$$\boxed{G^{(n)}(x_1,\ldots,x_n) = \frac{1}{Z[0]}\int \mathcal{D}\phi \, \phi(x_1)\cdots\phi(x_n) \, e^{iS[\phi]}}$$
$$G^{(2n+1)} = 0 \quad \text{(all odd point functions vanish)}$$
$$\tilde{G}^{(n)}(p_1,\ldots,p_n) = \int \prod_{i=1}^n d^4x_i \, e^{ip_i \cdot x_i} G^{(n)}(x_1,\ldots,x_n)$$

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 ...

← Spin Statistics
Feynman Diagrams →

Get Instant Access to 461+ PDF Study Guides

Professional LaTeX-typeset PDFs with complete derivations, worked examples, and beautiful equation rendering. Download any PDF, anytime. Cancel anytime.

$5
per month
All courses included
Save 17%
$50
per year
Best value
Subscribe Now
Secure payment via StripeCancel anytimeInstant access