Qed Processes 2

Quantum Field Theory · Part 4

215 KB8 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

Table of Contents

  1. 1.5.1 Moller Scattering: Identical Particles
  2. 2.5.2 The t-Channel and u-Channel Amplitudes
  3. 3.5.3 Evaluating |M|: Spin Sums and Traces
  4. 4.5.4 The Moller Cross Section
  5. 5.The t-channel squared term
  6. 6.The u-channel squared term
  7. 7.The interference term
  8. 8.Key Concepts (Page 1)

Key Equations

$$s = (p_1 + p_2)^2, \quad t = (p_1 - p_3)^2, \quad u = (p_1 - p_4)^2$$
$$\mathcal{M}_u = -\frac{e^2}{u}\left[\bar{u}(p_4)\gamma^\mu u(p_1)\right]\left[\bar{u}(p_3)\gamma_\mu u(p_2)\right]$$
$$\frac{1}{4}\sum_{\text{spins}}|\mathcal{M}_t|^2 = \frac{e^4}{t^2}\,\text{Tr}\!\left[\not{p}_3\gamma^\mu\not{p}_1\gamma^\nu\right]\,\text{Tr}\!\left[\not{p}_4\gamma_\mu\not{p}_2\gamma_\nu\right]$$
$$\frac{1}{4}\sum_{\text{spins}}|\mathcal{M}_t|^2 = 2e^4\,\frac{s^2 + u^2}{t^2}$$

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 ...

← Qed Processes 1
Radiative Corrections →

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