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Analytic states in quantum field theory on curved spacetimes

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arxiv 2302.02709 v2 pith:CCLMGREP submitted 2023-02-06 math-ph hep-thmath.APmath.MP

classification math-phhep-thmath.APmath.MP
keywords curvedspacetimesstatestubealgebraanalyticneumannobservables
verification ladder T0 review T1 audit T2 compute T3 formal
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We discuss high energy properties of states for (possibly interacting) quantum fields in curved spacetimes. In particular, if the spacetime is real analytic, we show that an analogue of the timelike tube theorem and the Reeh-Schlieder property hold with respect to states satisfying a weak form of microlocal analyticity condition. The former means the von Neumann algebra of observables of a spacelike tube equals the von Neumann algebra of observables of a significantly bigger region, that is obtained by deforming the boundary of the tube in a timelike manner. This generalizes theorems by Borchers and Araki to curved spacetimes.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Observers, local measurements, and topology

    hep-th 2026-07 conditional novelty 6.0 of 10

    Measurement correlations along an observer's worldline define a simplicial complex whose homology is proposed to be the topology of the accessible quantum-gravitational spacetime.

  2. Entanglement measures for causally connected subregions and holography

    hep-th 2025-08 conditional novelty 6.0 of 10

    Timelike separated subregions admit a transition-operator entropy, a complexified RT surface, and a timelike entanglement wedge cross section that equals half the analytically continued reflected entropy in AdS3/CFT2.

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