Introduction to Quantum Fields in Curved Spacetime and the Hawking Effect

Abstract

These notes introduce the subject of quantum field theory in curved spacetime and some of its applications and the questions they raise. Topics include particle creation in time-dependent metrics, quantum origin of primordial perturbations, Hawking effect, the trans-Planckian question, and Hawking radiation on a lattice.

Based on lectures given at the CECS School on Quantum Gravity in Valdivia, Chile, January 2002, 59 pages, 5 figures; v2 improved explanation of use of analyticity in Hawking effect derivation; v3 typo fixed in Fig.2

References in corpus (21)

• Large N Field Theories, String Theory and Gravity
• Thermodynamics of Spacetime: The Einstein Equation of State
• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• On the Dependence of the Spectra of Fluctuations in Inflationary Cosmology on Trans-Planckian Physics
• Les Houches Lectures on De Sitter Space
• Renormalization of Black Hole Entropy and of the Gravitational Coupling Constant
• Black Hole Evaporation in the Presence of a Short Distance Cutoff
• Thermal Fields, Entropy, and Black Holes
• Considerations on the Unruh Effect: Causality and Regularization
• Black Hole Entropy and Induced Gravity
• How Many New Worlds Are Inside a Black Hole?
• Quantum metric fluctuations and Hawking radiation
• Minimal modifications of the primordial power spectrum from an adiabatic short distance cutoff
• A Note on Hartle-Hawking Vacua
• Lattice Black Holes
• Quantum Field Theory in Curved Spacetime
• Hawking radiation on a falling lattice
• An Introduction to Black Hole Evaporation
• The Energy-Momentum Tensor in Fulling-Rindler Vacuum
• Primordial black holes as a source of extremely high energy cosmic rays
• Introduction to Black Hole Microscopy

Cited by in corpus (22)

• Analogue Gravity
• Hawking Radiation and Black Hole Thermodynamics
• Tunnelling Methods and Hawking's radiation: achievements and prospects
• Astrophysical implications of hypothetical stable TeV-scale black holes
• Hawking radiation in large N strongly-coupled field theories
• Stückelberg interference in a superconducting qubit under periodic latching modulation
• The Persistence of the Large Volumes in Black Holes
• Analogue gravity and the Hawking effect: historical perspective and literature review
• Vacuum fluctuations in a supersymmetric model in FRW spacetime
• Back-reaction in canonical analogue black holes
• The Basics of Water Waves Theory for Analogue Gravity
• Tripartite Entanglement of Hawking Radiation in Dispersive Model
• Emergent spacetimes
• Lodged in the throat: Internal infinities and AdS/CFT
• Revisiting quantum field theory in Rindler spacetime with superselection rules
• Dark matter as an effect of the quantum vacuum
• Classical Black Holes Are Hot
• Supersymmetric dark energy
• Entanglement of Vacuum States With the de Sitter Horizon: Consequences on Holographic Dark Energy
• A spacetime discretization and black holes properties in a holographic representation
• Particle production in a Robertson-Walker space with a de Sitter phase of finite extension
• Unitarity, nonlocality, and black hole information