Casimir energy and realistic model of dilute dielectric ball

Details Casimir energy and realistic model of dilute dielectric ball Casimir energy and realistic model of dilute dielectric ball

2001-01-10

arxiv.org/abs/hep-th/0101062v2

Mod.Phys.Lett. A16 (2001) 1007-1016

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, 1 figure, latex 2e, journal version

Scientific paper

10.1142/S0217732301004078

The Casimir energy of a dilute homogeneous nonmagnetic dielectric ball at zero temperature is derived analytically for the first time for an arbitrary physically possible frequency dispersion of dielectric permittivity $\epsilon(i\omega)$. A microscopic model of dielectrics is considered, divergences are absent in calculations because an average interatomic distance $\lambda$ is a {\it physical} cut-off in the theory. This fact has been overlooked before, which led to divergences in various macroscopic approaches to the Casimir energy of connected dielectrics.

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