Casimir energy for a scalar field with a frequency dependent boundary condition

Details Casimir energy for a scalar field with a frequency dependent boundary condition Casimir energy for a scalar field with a frequency dependent boundary condition

2000-08-31

arxiv.org/abs/hep-th/0008251v2

Phys.Rev. D63 (2001) 025015

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, RevTeX. Version to appear in PRD (Introduction enlarged, references added)

Scientific paper

10.1103/PhysRevD.63.025015

We consider the vacuum energy for a scalar field subject to a frequency dependent boundary condition. The effect of a frequency cut-off is described in terms of an {\it incomplete} $\zeta$-function. The use of the Debye asymptotic expansion for Bessel functions allows to determine the dominant (volume, area, >...) terms in the Casimir energy. The possible interest of this kind of models for dielectric media (and its application to sonoluminescence) is also discussed.

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