Entropy Bounds in Spherical Space

Details Entropy Bounds in Spherical Space Entropy Bounds in Spherical Space

2002-10-29

arxiv.org/abs/hep-th/0210286v1

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures, requires sc3conf.sty

Scientific paper

Exact 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 appropriate 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.

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