Finite Temperature

Quantum Field Theory · Part 7

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

Table of Contents

  1. 1.4.1 Thermal Density Matrix
  2. 2.4.2 Imaginary Time Formalism
  3. 3.4.3 Matsubara Frequencies
  4. 4.4.4 Thermal Propagators
  5. 5.4.5 Thermal Distributions
  6. 6.4.6 Finite Temperature Effective Potential
  7. 7.4.7 Thermal Phase Transitions
  8. 8.4.8 First vs Second Order Transitions
  9. 9.4.9 Phase Transitions in the Early Universe
  10. 10.4.10 Baryogenesis and Sakharov Conditions

Key Equations

$$\rho = \frac{1}{Z} e^{-\beta H}$$
$$e^{-\beta H} = e^{-iH(i\beta)} = e^{-iHt}\Big|_{t \to -i\beta}$$
$$i\omega_n \to \omega + i\epsilon$$
$$n_B(\omega) \approx \frac{T}{\omega}, \quad n_F(\omega) \approx \frac{1}{2} - \frac{\omega}{4T}$$

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 ...

← Curved Spacetime
Instantons →

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