An Algebraic Characterization of Vacuum States in Minkowski Space. II. Continuity Aspects

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dc.creatorBuchholz, Detlev
dc.creatorFlorig, Martin
dc.creatorSummers, Stephen J.
dc.date1999-09-01
dc.date1999-11-19
dc.date.accessioned2026-07-07T04:32:56Z
dc.date.available2026-07-07T04:32:56Z
dc.descriptionAn algebraic characterization of vacuum states in Minkowski space is given which relies on recently proposed conditions of geometric modular action and modular stability for algebras of observables associated with wedge-shaped regions. In contrast to previous work, continuity properties of these algebras are not assumed but derived from their inclusion structure. Moreover, a unique continuous unitary representation of spacetime translations is constructed from these data. Thus the dynamics of relativistic quantum systems in Minkowski space is encoded in the observables and state and requires no prior assumption about any action of the spacetime symmetry group upon these quantities.
dc.description14 pages
dc.identifierhttps://arxiv.org/abs/math-ph/9909003
dc.identifierhttp://arxiv.org/abs/math-ph/9909003
dc.identifierLett.Math.Phys. 49 (1999) 337-350
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/58382
dc.subjectMathematical Physics
dc.subjectHigh Energy Physics - Theory
dc.titleAn Algebraic Characterization of Vacuum States in Minkowski Space. II. Continuity Aspects
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