Renormalization Conditions

Quantum Field Theory · Part 6

213 KB10 sections4 key equationsLaTeX typeset
Download PDFRead Online (Free)

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,...

← Regularization
Renormalization Group →

Get Instant Access to 461+ PDF Study Guides

Professional LaTeX-typeset PDFs with complete derivations, worked examples, and beautiful equation rendering. Download any PDF, anytime. Cancel anytime.

$5
per month
All courses included
Save 17%
$50
per year
Best value
Subscribe Now
Secure payment via StripeCancel anytimeInstant access