Divergencies in the Casimir energy for a medium with realistic ultraviolet behavior

Details Divergencies in the Casimir energy for a medium with realistic ultraviolet behavior Divergencies in the Casimir energy for a medium with realistic ultraviolet behavior

2001-03-07

arxiv.org/abs/hep-th/0103050v1

J.Phys.A34:6291-6299,2001

Physics

High Energy Physics

High Energy Physics - Theory

article style, 10 pages

Scientific paper

10.1088/0305-4470/34/32/308

We consider a dielectric medium with an ultraviolet behavior as it follows from the Drude model. Compared with dilute models, this has the advantage that, for large frequencies, two different media behave the same way. As a result one expects the Casimir energy to contain less divergencies than for the dilute media approximation. We show that the Casimir energy of a spherical dielectric ball contains just one divergent term, a volume one, which can be renormalized by introducing a contact term analogous to the volume energy counterterm needed in bag models. PACS: 12.20.Ds, 03.70.+k, 77.22.Ch

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