Modular inclusion, the Hawking temperature, and quantum field theory in curved spacetime

DOI10.1007/BF00416017zbMath0844.53056MaRDI QIDQ1915203

Rainer Verch, Stephen Jeffrey Summers

Publication date: 13 June 1996

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

algebraic quantum field theoryHawking temperatureblack hole spacetimesKilling horizonmodular inclusion

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Applications of differential geometry to physics (53Z05) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (15)

MODULAR THEORY AND GEOMETRY ⋮ GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS ⋮ Local Poincaré algebra from quantum chaos ⋮ Динамика волнового пакета в окрестностях горизонта событий черной дыры ⋮ Bondi-Metzner-Sachs symmetry, holography on null-surfaces and area proportionality of ``light-slice entropy ⋮ The Unruh effect for philosophers ⋮ Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime ⋮ Temperature and entropy-area relation of quantum matter near spherically symmetric outer trapping horizons ⋮ On revolutionizing quantum field theory with Tomita’s modular theory ⋮ Unnamed Item ⋮ CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES ⋮ Modular wedge localization and the \(d=1+1\) formfactor program ⋮ LIGHTFRONT HOLOGRAPHY AND AREA DENSITY OF ENTROPY ASSOCIATED WITH LOCALIZATION ON WEDGE-HORIZONS ⋮ Constructive proposals for QFT based on the crossing property and on lightfront holography ⋮ Noncommutative spectral invariants and black hole entropy

Cites Work

• Particle creation by black holes
• On the derivation of Hawking radiation associated with the formation of a black hole
• Theorems on the uniqueness and thermal properties of stationary, nonsingular, quasifree states on spacetimes with a bifurcate Killing horizon
• The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes
• Algebras of local observables on a manifold
• The CPT-theorem in two-dimensional theories of local observables
• A comment on a recent work of Borchers
• An algebraic characterization of vacuum states in Minkowski space
• Modular structure and duality in conformal quantum field theory
• Half-sided modular inclusions of von Neumann-algebras
• On modular inclusion and spectrum condition
• Symmetries and half-sided modular inclusions of von Neumann algebras
• Sufficient conditions for quasifree states and an improved uniqueness theorem for quantum fields on space–times with horizons
• GROUP COHOMOLOGY, MODULAR THEORY AND SPACE-TIME SYMMETRIES

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