Effective Field Theory

Quantum Field Theory · Part 6

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Table of Contents

  1. 1.7.1 The EFT Paradigm
  2. 2.7.2 Integrating Out Heavy Fields
  3. 3.7.3 Classic Example: Fermi Theory of Weak Interactions
  4. 4.7.4 Matching: Connecting Theories at Different Scales
  5. 5.7.5 Power Counting and Organization
  6. 6.7.6 The Standard Model EFT (SMEFT)
  7. 7.7.7 Decoupling Theorem
  8. 8.7.8 EFT Philosophy and Naturalness
  9. 9.7.9 More EFT Examples
  10. 10.The EFT Philosophy

Key Equations

$$\mathcal{L}_{\text{eff}} = \mathcal{L}_{\text{light}} + \sum_{d>4} \frac{C_i^{(d)}}{\Lambda^{d-4}} \mathcal{O}_i^{(d)}$$
$$\Phi \approx -\frac{\lambda}{2M^2}\phi^2 + O(1/M^4)$$
$$\frac{-ig_w^2}{q^2 - M_W^2} \xrightarrow{q^2 \ll M_W^2} \frac{g_w^2}{M_W^2} \equiv \frac{G_F}{\sqrt{2}}$$
$$\mathcal{L}_{\chi PT} = \frac{f_\pi^2}{4}\text{Tr}[\partial_\mu U^\dagger \partial^\mu U] + \cdots$$

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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