CAUSAL SPACES, CAUSAL COMPLEMENTS AND THEIR RELATIONS TO QUANTUM FIELD THEORY

DOI10.1142/S0129055X96000093zbMath0974.81038MaRDI QIDQ4890806

Michael Keyl

Publication date: 5 June 2000

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

zbMATH Keywords

globally hyperbolic space-timeKlein-Gordon operatornet of local observablescausal disjointness relationsalgebraic quantum fieldHuygens operatorreconstruction of classical space-time

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) Methods of quantum field theory in general relativity and gravitational theory (83C47) Applications of functional analysis in quantum physics (46N50)

Related Items (8)

GEOMETRIC MODULAR ACTION AND SPACETIME SYMMETRY GROUPS ⋮ Continuous dependence on the initial data in the Kadison transitivity theorem and GNS construction ⋮ Unnamed Item ⋮ Deformations of quantum field theories on spacetimes with Killing vector fields ⋮ Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime ⋮ Antiunitary representations and modular theory ⋮ Spacetime granularity from finite-dimensionality of local observable algebras ⋮ CHARGED SECTORS, SPIN AND STATISTICS IN QUANTUM FIELD THEORY ON CURVED SPACETIMES

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