Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon

BS Kay, RM Wald - Physics Reports, 1991 - Elsevier
This paper is concerned with the study of quasifree states of a linear, scalar quantum field in
globally hyperbolic spacetimes possessing a one-parameter group of isometries with a …

Real-and imaginary-time field theory at finite temperature and density

NP Landsman, CG Van Weert - Physics Reports, 1987 - Elsevier
This report gives a detailed account of relativistic quantum field theory in the grand
canonical ensemble. Three approaches are discussed: traditional Euclidean Matsubara …

Vacuum noise and stress induced by uniform acceleration: Hawking-Unruh effect in Rindler manifold of arbitrary dimension

S Takagi - Progress of Theoretical Physics Supplement, 1986 - academic.oup.com
This is a comprehensive account of a particular recent development concerning the thermal
character inherent in the quantum field as viewed from a uniformly accelerated frame of …

Algebraic quantum field theory: An introduction

CJ Fewster, K Rejzner - Progress and Visions in Quantum Theory in View …, 2020 - Springer
We give a pedagogical introduction to algebraic quantum field theory (AQFT), with the aim of
explaining its key structures and features. Topics covered include: algebraic formulations of …

Temperature, periodicity and horizons

SA Fulling, SNM Ruijsenaars - Physics reports, 1987 - Elsevier
We explain and explore the connections among the following propositions:(1) thermal
equilibrium is characterized by the KMS condition,< A t− iβ B>=< BA t>;(2) finite-temperature …

[图书][B] Black holes: thermodynamics, information, and firewalls

RB Mann, RB Mann - 2015 - Springer
Black holes have presented us with some of the most baffling paradoxes in physics. From
their original conception as dark stars, they have come to be understood as physical …

The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes

BS Kay - Communications in Mathematical Physics, 1985 - Springer
Abstract We consider the Klein-Gordon equation (m≧ 0) on the double Schwarzschild
wedge of the Kruskal spacetime, and construct the Hartle-Hawking state ω H as a thermal …

Rigorous construction and Hadamard property of the Unruh state in Schwarzschild spacetime

C Dappiaggi, V Moretti, N Pinamonti - 2011 - projecteuclid.org
The discovery of the radiation properties of black holes prompted the search for a natural
candidate quantum ground state for a massless scalar field theory on Schwarzschild …

Classical and quantum scattering theory for linear scalar fields on the Schwarzschild metric I

J Dimock, BS Kay - Annals of physics, 1987 - Elsevier
We consider the covariant Klein-Gordon equation (□ g g+ m 2) φ= 0 of mass m≥ 0 on the
exterior Schwarzschild spacetime of mass M. We introduce and study a set of outer and …

Relative entropy and curved spacetimes

F Ciolli, R Longo, A Ranallo, G Ruzzi - Journal of Geometry and Physics, 2022 - Elsevier
Given any half-sided modular inclusion of standard subspaces, we show that the entropy
function associated with the decreasing one-parameter family of translated standard …