The Reeh–Schlieder property for thermal field theories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Apr 2000Embargo end date: 01 Jan 1999 English Publisher:AIP PublishingJournal:Journal of Mathematical Physics, volume 41, pages 1,745-1,754 (issn: 0022-2488, eissn: 1089-7658,

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Authors: Jäkel, Christian D.;

doi: 10.1063/1.533208 , 10.48550/arxiv.hep-th/9904049

arXiv: hep-th/9904049

The Reeh–Schlieder property for thermal field theories

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Abstract

We show that the Reeh–Schlieder property w.r.t. KMS states is a direct consequence of locality, additivity, and the relativistic KMS condition. The latter characterizes the thermal equilibrium states of a relativistic quantum field theory. The statement remains valid even if the given equilibrium state breaks spatial translation invariance.

Related Organizations

University of Rome Tor Vergata
Italy
University of Innsbruck
Austria

Keywords

High Energy Physics - Theory, KMS states, locality, additivity, Applications of operator algebras to the sciences, High Energy Physics - Theory (hep-th), Applications of selfadjoint operator algebras to physics, Applications of operator theory in the physical sciences, FOS: Physical sciences, Quantum equilibrium statistical mechanics (general), Axiomatic quantum field theory; operator algebras

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