Thermal Quantum Fields with Spatially Cut-off Interactions in 1+1 Space-time Dimensions

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dc.creatorGerard, Christian
dc.creatorJaekel, Christian
dc.date2003-07-25
dc.date.accessioned2026-07-07T06:31:52Z
dc.date.available2026-07-07T06:31:52Z
dc.descriptionWe construct interacting quantum fields in 1+1 space-time dimensions, representing charged or neutral scalar bosons at positive temperature and zero chemical potential. Our work is based on prior work by Klein and Landau and Hoegh-Krohn. Generalized path space methods are used to add a spatially cut-off interaction to the free system, which is described in the Araki-Woods representation. It is shown that the interacting KMS state is normal w.r.t. the Araki-Woods representation. The observable algebra and the modular conjugation of the interacting system are shown to be identical to the ones of the free system and the interacting Liouvillean is described in terms of the free Liouvillean and the interaction.
dc.identifierhttps://arxiv.org/abs/math-ph/0307053
dc.identifierhttp://arxiv.org/abs/math-ph/0307053
dc.identifierJ. Funct. Anal. 220, 157-213 (2005)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/98737
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subject81T08, 82B21, 82 B31, 46L55
dc.titleThermal Quantum Fields with Spatially Cut-off Interactions in 1+1 Space-time Dimensions
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