Renormalization Conditions

Quantum Field Theory · Part 6

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Table of Contents

  1. 1.4.1 The Ambiguity of Finite Parts
  2. 2.4.2 On-Shell Renormalization Scheme
  3. 3.4.3 On-Shell Scheme in QED
  4. 4.4.4 MS-bar Scheme
  5. 5.4.5 Running Parameters
  6. 6.4.6 Momentum Subtraction Schemes
  7. 7.4.7 Scheme Dependence and Independence
  8. 8.4.8 Comparison of Schemes
  9. 9.(a) Mass Renormalization Condition
  10. 10.(b) Field Renormalization Condition

Key Equations

$$\delta m^2 = \frac{C}{\epsilon} + (\text{finite part})$$
$$\left.\frac{d\Sigma(p^2)}{dp^2}\right|_{p^2=m^2} = 0$$
$$\Sigma(\not{p} = m_e) = 0$$
$$\delta X = -\frac{C_X}{\epsilon} - C_X(\ln 4\pi - \gamma_E) + 0$$

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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