Curved Spacetime
Quantum Field Theory · Part 7
246 KB10 sections4 key equationsLaTeX typeset
Table of Contents
- 1.5.1 Scalar Field in Curved Spacetime
- 2.5.2 The Particle Concept Problem
- 3.5.3 Bogoliubov Transformations
- 4.5.4 The Unruh Effect
- 5.5.5 Schwarzschild Black Hole
- 6.5.6 Hawking Radiation
- 7.5.7 Physical Picture of Hawking Radiation
- 8.5.8 Bekenstein-Hawking Entropy
- 9.5.9 Black Hole Evaporation
- 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,...