The Relation Between KMS-states for Different Temperatures

dc.creatorJaekel, Christian
dc.date1998-03-30
dc.date2004-05-05
dc.date.accessioned2026-07-07T04:24:25Z
dc.date.available2026-07-07T04:24:25Z
dc.descriptionGiven a thermal field theory for some temperature $β^{-1}$, we construct the theory at an arbitrary temperature $ 1 / β'$. Our work is based on a construction invented by Buchholz and Junglas, which we adapt to thermal field theories. In a first step we construct states which closely resemble KMS states for the new temperature in a local region $Ø_\circ \subset \rr^4$, but coincide with the given KMS state in the space-like complement of a slightly larger region $\hatØ$. By a weak*-compactness argument there always exists a convergent subnet of states as the size of $ Ø_\circ$ and $ \hatØ$ tends towards $ \rr^4$. Whether or not such a limit state is a global KMS state for the new temperature, depends on the surface energy contained in the layer in between the boundaries of $ Ø_\circ$ and $ \hatØ$. We show that this surface energy can be controlled by a generalized cluster condition.
dc.descriptionlatex, 24 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9803245
dc.identifierhttp://arxiv.org/abs/hep-th/9803245
dc.identifierAnnales Henri Poincare 5 (2004) 579-606
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55403
dc.subjectHigh Energy Physics - Theory
dc.titleThe Relation Between KMS-states for Different Temperatures
dc.typetext

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