Renormalized Thermal Entropy in Field Theory

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dc.creatorCacciatori, Sergio
dc.creatorCosta, Fabio
dc.creatorPiazza, Federico
dc.date2008-03-28
dc.date2009-01-28
dc.date.accessioned2026-07-07T12:34:41Z
dc.date.available2026-07-07T12:34:41Z
dc.descriptionStandard entropy calculations in quantum field theory, when applied to a subsystem of definite volume, exhibit area-dependent UV divergences that make a thermodynamic interpretation troublesome. In this paper we define a renormalized entropy which is related with the Newton-Wigner position operator. Accordingly, whenever we trace over a region of space, we trace away degrees of freedom that are localized according to Newton-Wigner localization but not in the usual sense. We consider a free scalar field in d+1 spacetime dimensions prepared in a thermal state and we show that our entropy is free of divergences and has a perfectly sound thermodynamic behavior. In the high temperature/big volume limit our results agree with the standard QFT calculations once the divergent contributions are subtracted from the latter. In the limit of low temperature/small volume the entropy goes to zero but with a different dependence on the temperature.
dc.description27 pages, final version
dc.identifierhttps://arxiv.org/abs/0803.4087
dc.identifierhttp://arxiv.org/abs/0803.4087
dc.identifierPhys.Rev.D79:025006,2009
dc.identifierdoi:10.1103/PhysRevD.79.025006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/217523
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectQuantum Physics
dc.titleRenormalized Thermal Entropy in Field Theory
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