Quantum Field Theory in Curved Spacetime (2nd Edition)
arXiv:2308.14517 · doi:10.1016/B978-0-323-95703-8.00085-9
Abstract
The 2023 second edition of a 2006 encyclopedia article on mathematical aspects of quantum field theory in curved spacetimes (QFTCST). Section-titles (with new sections indicated with stars) are: Introduction and preliminaries, Construction of a -algebra for a real linear scalar field on globally hyperbolic spacetimes and some general theorems, *More about (quasifree) Hadamard states, Particle creation and the limitations of the particle concept, Theory of the stress-energy tensor, *More about the intersection of QFTCST with AQFT and the Fewster-Verch No-Go Theorem, Hawking and Unruh effects, *More about (classical and) quantum fields on black hole backgrounds, Non-globally hyperbolic spacetimes and the time-machine question, *More about QFT on non-globally hyperbolic spacetimes, Other related topics and some warnings. The article contains many references. It also includes a review of, and also compares and contrasts, recent results on the implications of QFTCST for the question of the instability of three sorts of Cauchy horizon -- first those inside black holes such as especially Reissner-Nordström-de Sitter and Kerr-de Sitter, second the compactly generated Cauchy horizons of spacetimes in which time-machines get manufactured, and third the Cauchy horizon of the spacetime which is believed to describe evaporating black holes and which underlies (one version of) the black hole information-loss puzzle.
37 pages, 7 figures. V2: small improvements and additions, 3 figures redrawn, subsections renamed as sections, dedications, references and acknowledgments added. V3 typos corrected, refs updated. V4 2 paragraphs and 4 references added + minor corrections. V5 Important sentence inserted 5 paragraphs before the end of Section 7. arXiv admin note: text overlap with arXiv:gr-qc/0601008
References in corpus (75)
- The Unruh effect and its applications
- Measurement of stimulated Hawking emission in an analogue system
- The generally covariant locality principle -- A new paradigm for local quantum physics
- On smooth Cauchy hypersurfaces and Geroch's splitting theorem
- Smoothness of time functions and the metric splitting of globally hyperbolic spacetimes
- Information Loss
- Observation of Stimulated Hawking Radiation in Optics
- Quantum fields in curved spacetime
- Energy conditions in general relativity and quantum field theory
- Hadamard renormalization of the stress-energy tensor for a quantized scalar field in a general spacetime of arbitrary dimension
- A general worldline quantum inequality
- Quantum Instability of the Cauchy Horizon in Reissner-Nordström-deSitter Spacetime
- Analysis of linear waves near the Cauchy horizon of cosmological black holes
- Renormalized Quantum Yang-Mills Fields in Curved Spacetime
- Comments on the Stress-Energy Tensor Operator in Curved Spacetime
- Algebraic QFT in Curved Spacetime and quasifree Hadamard states: an introduction
- A Quantum Weak Energy Inequality for Spin-One Fields in Curved Spacetime
- Versatile method for renormalized stress-energy computation in black-hole spacetimes
- Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems
- Passivity and microlocal spectrum condition
- The Necessity of the Hadamard Condition
- A scattering theory for the wave equation on Kerr black hole exteriors
- The Hadamard Condition for Dirac Fields and Adiabatic States on Robertson-Walker Spacetimes
- Analogue simulations of quantum gravity with fluids
- A Distinguished Vacuum State for a Quantum Field in a Curved Spacetime: Formalism, Features, and Cosmology
- A spin-statistics theorem for quantum fields on curved spacetime manifolds in a generally covariant framework
- Kermions: quantization of fermions on Kerr space-time
- On a Recent Construction of "Vacuum-like" Quantum Field States in Curved Spacetime
- Dynamical locality and covariance: What makes a physical theory the same in all spacetimes?
- Construction of Hadamard states by pseudo-differential calculus
- Quantum stress tensor at the Cauchy horizon of Reissner-Nordström-deSitter spacetime
- Analysis of quantum effects inside spherical charged black holes
- Rough initial data and the strength of the blue-shift instability on cosmological black holes with
- "Vacuum-like" Hadamard states for quantum fields on curved spacetimes
- Cosmological perturbation theory and quantum gravity
- Analytic approximation and an improved method for computing the stress-energy of quantized scalar fields in Robertson-Walker spacetimes
- Construction of Hadamard states by characteristic Cauchy problem
- On the Reeh-Schlieder Property in Curved Spacetime
- A General PCT Theorem for the Operator Product Expansion in Curved Spacetime
- On the construction of Hartle-Hawking-Israel states across a static bifurcate Killing horizon
- Dynamical locality of the free scalar field
- Penrose's 1965 singularity theorem: From geodesic incompleteness to cosmic censorship
- The Black Hole Information Paradox and the Collapse of the Wave Function
- Thermal equilibrium states of a linear scalar quantum field in stationary spacetimes
- Semiclassical theories as initial value problems
- Temperature and entropy-area relation of quantum matter near spherically symmetric outer trapping horizons
- Graviton corrections to the Newtonian potential using invariant observables
- Semi-classical gravity in de Sitter spacetime and the cosmological constant
- The split property for locally covariant quantum field theories in curved spacetime
- Hadamard property of the in and out states for Klein-Gordon fields on asymptotically static spacetimes
- Thermalization by a synthetic horizon
- The art of the state
- Vacuum state in de Sitter spacetime with static charts
- Two-point function of a quantum scalar field in the interior region of a Kerr black hole
- Spacetime in Semiclassical Gravity
- Hadamard renormalization for a charged scalar field
- Scattering for massive Dirac fields on the Kerr metric
- On the initial value problem for semiclassical gravity without and with quantum state collapses
- Construction of the Unruh State for a Real Scalar Field on the Kerr-de Sitter Spacetime
- Hadamard states for quantized Dirac fields on Lorentzian manifolds of bounded geometry
- Classical phase space and Hadamard states in the BRST formalism for gauge field theories on curved spacetime
- The Scattering Map on Oppenheimer--Snyder Spacetime
- Non-existence of isometry-invariant Hadamard states for a Kruskal black hole in a box and for massless fields on 1+1 Minkowski spacetime with a uniformly accelerating mirror
- Special cosmological models derived from the semiclassical Einstein equation on flat FLRW space-times
- Linear stability of semiclassical theories of gravity
- Cosmological de Sitter Solutions of the Semiclassical Einstein Equation
- Semiclassical gravity with a conformally covariant field in globally hyperbolic spacetimes
- Evolution of confined quantum scalar fields in curved spacetime. Part II
- Can a particle detector cross a Cauchy horizon?
- Graviton backreaction on the local cosmological expansion in slow-roll inflation
- Evolution of confined quantum scalar fields in curved spacetime. Part I
- Quantum strong cosmic censorship and black hole evaporation
- Matter-gravity entanglement entropy and the second law for black holes
- Local incompatibility of the microlocal spectrum condition with the KMS property along spacelike directions in quantum field theory on curved spacetime
- The Operator Product Expansion in Quantum Field Theory