Qed Processes 1

Quantum Field Theory · Part 4

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Table of Contents

  1. 1.4.1 The Process and Its Feynman Diagram
  2. 2.4.2 Writing the Amplitude from Feynman Rules
  3. 3.4.3 Squaring the Amplitude and Spin Sums
  4. 4.4.4 Evaluating the Traces
  5. 5.4.5 Result in Mandelstam Variables
  6. 6.4.6 Differential Cross Section in the CM Frame
  7. 7.4.7 Total Cross Section
  8. 8.Key Concepts (Page 1)

Key Equations

$$j^\mu_e = \bar{v}(p_2)(-ie\gamma^\mu)u(p_1)$$
$$|\mathcal{M}|^2 = \frac{e^4}{s^2}\left[\bar{v}(p_2)\gamma^\mu u(p_1)\right]\left[\bar{u}(p_3)\gamma_\mu v(p_4)\right]\left[\bar{v}(p_2)\gamma^\nu u(p_1)\right]^*\left[\bar{u}(p_3)\gamma_\nu v(p_4)\right]^*$$
$$L_\mu^{\mu\nu} = 4\left[p_3^\mu p_4^\nu + p_3^\nu p_4^\mu - (p_3 \cdot p_4 + m_\mu^2)g^{\mu\nu}\right]$$
$$t = -2E^2(1 - \cos\theta) = -\frac{s}{2}(1 - \cos\theta)$$

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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