Finite Temperature Casimir Effect for a Dilute Ball Satisfying $εμ=1$

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dc.creatorBrevik, I.
dc.creatorYousef, T. A.
dc.date2000-02-07
dc.date2000-06-28
dc.date.accessioned2026-07-07T10:53:18Z
dc.date.available2026-07-07T10:53:18Z
dc.descriptionThe finite temperature Casimir free energy is calculated for a dielectric ball of radius $a$ embedded in an infinite medium. The condition $εμ=1$ is assumed for the inside/outside regions. Both the Green function method and the mode summation method are considered, and found to be equivalent. For a dilute medium we find, assuming a simple "square" dispersion relation with an abrupt cutoff at imaginary frequency $\hat ω= ω_0$, the high temperature Casimir free energy to be negative and proportional to $x_0 \equiv ω_0 a$. Also, a physically more realistic dispersion relation involving spatial dispersion is considered, and is shown to lead to comparable results.
dc.description18 pages, 5 eps figures; minor extensions of the discussion in sect. 3; 5 new references. To appear in J. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/hep-th/0002049
dc.identifierhttp://arxiv.org/abs/hep-th/0002049
dc.identifierJ.Phys.A33:5819-5832,2000
dc.identifierdoi:10.1088/0305-4470/33/33/303
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/185437
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleFinite Temperature Casimir Effect for a Dilute Ball Satisfying $εμ=1$
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