Entropy Bounds in $R\times S^3$ Geometries

dc.creatorBrevik, Iver
dc.creatorMilton, Kimball A.
dc.creatorOdintsov, Sergei D.
dc.date2002-02-07
dc.date2002-06-04
dc.date.accessioned2026-07-07T12:29:12Z
dc.date.available2026-07-07T12:29:12Z
dc.descriptionExact calculations are given for the Casimir energy for various fields in $R\times S^3$ geometry. The Green's function method naturally gives a result in a form convenient in the high-temperature limit, while the statistical mechanical approach gives a form convenient for low temperatures. The equivalence of these two representations is demonstrated. Some discrepancies with previous work are noted. In no case, even for ${\cal N}=4$ SUSY, is the ratio of entropy to energy found to be bounded. This deviation, however, occurs for low temperature, where the equilibrium approach may not be relevant. The same methods are used to calculate the energy and free energy for the TE modes in a half-Einstein universe bounded by a perfectly conducting 2-sphere.
dc.description22 pages, no figures, REVTeX4. Revised paper contains minor corrections and clarifications
dc.identifierhttps://arxiv.org/abs/hep-th/0202048
dc.identifierhttp://arxiv.org/abs/hep-th/0202048
dc.identifierAnnals Phys.302:120-141,2002
dc.identifierdoi:10.1006/aphy.2002.6317
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/215797
dc.subjectHigh Energy Physics - Theory
dc.titleEntropy Bounds in $R\times S^3$ Geometries
dc.typetext

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