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

Details Finite Temperature Casimir Effect for a Dilute Ball Satisfying $ε μ=1$ Finite Temperature Casimir Effect for a Dilute Ball Satisfying $ε μ=1$

2000-02-07

arxiv.org/abs/hep-th/0002049v2

J.Phys.A33:5819-5832,2000

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, 5 eps figures; minor extensions of the discussion in sect. 3; 5 new references. To appear in J. Phys. A: Math. Gen

Scientific paper

10.1088/0305-4470/33/33/303

The finite temperature Casimir free energy is calculated for a dielectric ball of radius $a$ embedded in an infinite medium. The condition $\epsilon\mu=1$ 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 $\hat \omega= \omega_0$, the high temperature Casimir free energy to be negative and proportional to $x_0 \equiv \omega_0 a$. Also, a physically more realistic dispersion relation involving spatial dispersion is considered, and is shown to lead to comparable results.

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