Qed Processes 2

Quantum Field Theory · Part 4

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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. 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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