On the algebraic quantization of a massive scalar field in anti-de Sitter spacetime

DOI10.1142/S0129055X18500046zbMath1383.81150arXiv1701.07215MaRDI QIDQ4603376

Claudio Dappiaggi, Hugo R. C. Ferreira

Publication date: 20 February 2018

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

Full work available at URL: https://arxiv.org/abs/1701.07215

zbMATH Keywords

algebraic quantizationanti-de SitterHadamard state

Mathematics Subject Classification ID

Model quantum field theories (81T10) General theory of von Neumann algebras (46L10) Quantum field theory on curved space or space-time backgrounds (81T20) Quantization in field theory; cohomological methods (81T70) Axiomatic quantum field theory; operator algebras (81T05) Wave front sets in context of PDEs (35A18)

Related Items (11)

Algebraic quantum field theory on spacetimes with timelike boundary ⋮ A generalization of the propagation of singularities theorem on asymptotically anti‐de Sitter spacetimes ⋮ Vacuum polarization on three-dimensional anti-de Sitter space-time with Robin boundary conditions ⋮ A mechanism for holography for non-interacting fields on anti-de Sitter spacetimes ⋮ Fundamental solutions and Hadamard states for a scalar field with arbitrary boundary conditions on an asymptotically AdS spacetimes ⋮ Quantum field theory on global anti-de Sitter space-time with Robin boundary conditions ⋮ Tunnelling processes for Hadamard states through a 2+1 dimensional black hole and Hawking radiation ⋮ On Maxwell's equations on globally hyperbolic spacetimes with timelike boundary ⋮ The well-posedness of the Cauchy problem for the Dirac operator on globally hyperbolic manifolds with timelike boundary ⋮ Fundamental solutions for the wave operator on static Lorentzian manifolds with timelike boundary ⋮ PROPAGATION OF SINGULARITIES ON AdS SPACETIMES FOR GENERAL BOUNDARY CONDITIONS AND THE HOLOGRAPHIC HADAMARD CONDITION

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