Algebraic Field Theory on Curved Manifolds

DOI10.2307/2154928zbMath0826.46061OpenAlexW4237317749MaRDI QIDQ4846069

Martin Olesen

Publication date: 27 November 1995

Full work available at URL: https://doi.org/10.2307/2154928

zbMATH Keywords

quantum field theoryMinkowski spacelocal algebrasergodic hypothesistype III factorswedge algebrasKruskal spacetimefactorization of the equilibrium statefield algebras of bosonic free field solutions to the Klein-Gordon equation twisted through a PCT-like conjugationHawking radiation in black hole geometriesproblems of Bisognano-Wichmann type

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Applications of functional analysis in quantum physics (46N50)

Cites Work

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• Particle creation by black holes
• The double-wedge algebra for quantum fields on Schwarzschild and Minkowski spacetimes
• On the modular structure of local algebras of observables
• Algebras of local observables on a manifold
• Remarks on the modular operator and local observables
• Types of von Neumann algebras associated with extremal invariant states
• On the equilibrium states in quantum statistical mechanics
• The Radon-Nikodym theorem for von Neumann algebras
• On the duality condition for a Hermitian scalar field
• The Commutation Theorem for Tensor Products of von Neumann Algebras
• A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field
• An Algebraic Approach to Quantum Field Theory
• The Large Scale Structure of Space-Time

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