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Microlocal analysis of quantum fields on curved spacetimes: Analytic wavefront sets and Reeh-Schlieder theorems

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arxiv math-ph/0202003 v1 pith:OMPLAJ3U submitted 2002-02-04 math-ph gr-qchep-thmath.MPquant-ph

classification math-phgr-qchep-thmath.MPquant-ph
keywords analyticfieldmicrolocalquantumconditionspectrumfieldsholds
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We show in this article that the Reeh-Schlieder property holds for states of quantum fields on real analytic spacetimes if they satisfy an analytic microlocal spectrum condition. This result holds in the setting of general quantum field theory, i.e. without assuming the quantum field to obey a specific equation of motion. Moreover, quasifree states of the Klein-Gordon field are further investigated in this work and the (analytic) microlocal spectrum condition is shown to be equivalent to simpler conditions. We also prove that any quasifree ground- or KMS-state of the Klein-Gordon field on a stationary real analytic spacetime fulfills the analytic microlocal spectrum condition.

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  1. The Structure of Quantum Singularities on a Cauchy Horizon

    hep-th 2024-11 conditional novelty 7.0 of 10

    A QFT construction based on defect operators in the causal complement predicts a universal, index-dependent bound on robust Cauchy horizon singularities, explaining the observed mildness.

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