The Haag-Kastler axioms for the \(\mathcal P(\varphi)_2\) model on the de Sitter space

DOI10.1007/s00023-018-0647-9zbMath1386.81113arXiv1701.08231OpenAlexW2583658736WikidataQ111288259 ScholiaQ111288259MaRDI QIDQ1742408

Christian D. Jäkel, Jens Mund

Publication date: 11 April 2018

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.08231

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Quantum field theory on curved space or space-time backgrounds (81T20) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Operator algebra methods applied to problems in quantum theory (81R15)

Related Items (5)

Towards integrable perturbation of \(2d\) CFT on de Sitter space ⋮ Reflection positivity. Abstracts from the workshop held November 26 -- December 2, 2017 ⋮ Antiunitary representations and modular theory ⋮ Finite dimensional semigroups of unitary endomorphisms of standard subspaces ⋮ The 𝒫(𝜑)₂ Model on de Sitter Space

Cites Work

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• An algebraic version of Haag's theorem
• Canonical interacting quantum fields on two-dimensional de Sitter space
• The time slice axiom in perturbative quantum field theory on globally hyperbolic spacetimes
• Construction of quantum field theories with factorizing S-matrices
• A bounded operator approach to Tomita-Takesaki theory
• Modular localization and the bootstrap-formfactor program
• Localization in nets of standard spaces
• Modular theory for the von Neumann algebras of Local Quantum Physics
• On the duality condition for a Hermitian scalar field
• MODULAR LOCALIZATION AND WIGNER PARTICLES
• On the existence of local observables in theories with a factorizingS-matrix
• TWO-POINT FUNCTIONS AND QUANTUM FIELDS IN DE SITTER UNIVERSE
• Perturbation Theory of W*-Dynamics, Liouvilleans and KMS-States
• A Lattice of Von Neumann Algebras Associated with the Quantum Theory of a Free Bose Field
• Von Neumann Algebras of Local Observables for Free Scalar Field
• The 𝒫(𝜑)₂ Model on de Sitter Space

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