S Matrix

Quantum Field Theory · Part 3

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Table of Contents

  1. 1.1.1 Why Do We Need Interactions?
  2. 2.1.2 Interacting Lagrangian
  3. 3.1.3 Interaction Picture
  4. 4.1.4 Time Evolution Operator
  5. 5.1.5 The S-Matrix (Scattering Matrix)
  6. 6.1.6 Dyson Series (Perturbative Expansion)
  7. 7.1.7 LSZ Reduction Formula
  8. 8.Properties of S-Matrix
  9. 9.🎯 Key Takeaways

Key Equations

$$\boxed{\mathcal{L} = \mathcal{L}_0 + \mathcal{L}_{\text{int}}}$$
$$|\psi_I(t)\rangle = U(t,t_0)|\psi_I(t_0)\rangle$$
$$T[A(t_1)B(t_2)] = \begin{cases} A(t_1)B(t_2) & t_1 > t_2 \\ B(t_2)A(t_1) & t_2 > t_1 \end{cases}$$
$$\boxed{S_{fi} = \langle f|S|i\rangle}$$

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. 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 ...

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