Stable quantum systems in anti–de Sitter space: Causality, independence, and spectral properties

DOI10.1063/1.1804230zbMath1064.81088arXivmath-ph/0407011OpenAlexW3102656981MaRDI QIDQ3024152

Detlev Buchholz, Stephen Jeffrey Summers

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/math-ph/0407011

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05)

Related Items (9)

Wedge domains in non-compactly causal symmetric spaces ⋮ Deformations of quantum field theories on spacetimes with Killing vector fields ⋮ Subsystems and independence in relativistic microscopic physics ⋮ Passive states for essential observers ⋮ Quantum statistics and locality ⋮ Warped convolutions, Rieffel deformations and the construction of quantum field theories ⋮ Algebraic Constructive Quantum Field Theory: Integrable Models and Deformation Techniques ⋮ Construction of quantum field theories with factorizing S-matrices ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

Cites Work

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• Standard and split inclusions of von Neumann algebras
• Stability in gauged extended supergravity
• The universal structure of local algebras
• Algebraic holography
• Product states for local algebras
• Towards a general theory of quantized fields on the anti-de Sitter space-time
• Independence of local algebras in quantum field theory
• ON THE INDEPENDENCE OF LOCAL ALGEBRAS IN QUANTUM FIELD THEORY
• Accelerated detectors and temperature in (anti-) de Sitter spaces
• Comment on accelerated detectors and temperature in (anti-) de Sitter spaces
• On the existence of local observables in theories with a factorizingS-matrix
• The second law of thermodynamics, TCP and Einstein causality in anti-de Sitter spacetime
• Elementary Particles in a Curved Space
• Discrete Series for the Universal Covering Group of the 3 + 2 de Sitter Group
• A general construction of conformal field theories from scalar anti-de Sitter quantum field theories.

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