Vacuum energy between a sphere and a plane at finite temperature

Details Vacuum energy between a sphere and a plane at finite temperature Vacuum energy between a sphere and a plane at finite temperature

2009-12-21

arxiv.org/abs/0912.4047v2

Phys.Rev.D81:085023,2010

Physics

Quantum Physics

14 pages, 3 figures, revised version with several improvements

Scientific paper

10.1103/PhysRevD.81.085023

We consider the Casimir effect for a sphere in front of a plane at finite temperature for scalar and electromagnetic fields and calculate the limiting cases. For small separation we compare the exact results with the corresponding ones obtained in proximity force approximation. For the scalar field with Dirichlet boundary conditions, the low temperature correction is of order $T^2$ like for parallel planes. For the electromagnetic field it is of order $T^4$. For high temperature we observe the usual picture that the leading order is given by the zeroth Matsubara frequency. The non-zero frequencies are exponentially suppressed except for the case of close separation.

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