Curved Spacetime

Quantum Field Theory · Part 7

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Table of Contents

  1. 1.5.1 Scalar Field in Curved Spacetime
  2. 2.5.2 The Particle Concept Problem
  3. 3.5.3 Bogoliubov Transformations
  4. 4.5.4 The Unruh Effect
  5. 5.5.5 Schwarzschild Black Hole
  6. 6.5.6 Hawking Radiation
  7. 7.5.7 Physical Picture of Hawking Radiation
  8. 8.5.8 Bekenstein-Hawking Entropy
  9. 9.5.9 Black Hole Evaporation
  10. 10.5.10 The Black Hole Information Paradox

Key Equations

$$S = \int d^4x \sqrt{-g} \left[-\frac{1}{2}g^{\mu\nu}\partial_\mu\phi\partial_\nu\phi - \frac{1}{2}m^2\phi^2 - \xi R\phi^2\right]$$
$$\boxed{T_{\text{Unruh}} = \frac{a}{2\pi k_B}}$$
$$r_s = 2GM = \frac{2GM}{c^2} \approx 3 \text{ km} \times \left(\frac{M}{M_\odot}\right)$$
$$\boxed{S_{BH} = \frac{k_B A}{4\ell_P^2} = \frac{k_B c^3 A}{4G\hbar}}$$

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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