2002/02/28 by Iver Brevik, Kimball A. Milton, Sergei D. Odintsov · 1 citation
Physics and Astronomy · #Binary entropy function #Black Holes and Theoretical Physics #Bounded function #Casimir effect #Energy (signal processing) #Entropy (arrow of time) #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #Work (physics) #hep-th
paper · pdf · doi:10.1006/aphy.2002.6317
published as Annals Phys.302:120-141,2002 · 22 pages, no figures, REVTeX4. Revised paper contains minor corrections and clarifications
arxiv created 2002/06/04 · openalex publication_date 2002/12/01 · arxiv updated 2009/11/30 · openalex created_date 2020/11/23 · openalex updated_date 2026/08/05
Exact calculations are given for the Casimir energy for various fields in R× S3 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.