Heat kernel Coefficients and Divergencies of the Casimir Energy for the Dispersive Sphere

Details Heat kernel Coefficients and Divergencies of the Casimir Energy for the Dispersive Sphere Heat kernel Coefficients and Divergencies of the Casimir Energy for the Dispersive Sphere

2001-10-24

arxiv.org/abs/hep-th/0110217v1

Int.J.Mod.Phys.A17:813-819,2002

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Contribution to the 5th Workshop on Quantum Field Theory under the Influence of External Conditions, Leipzig, Germany

Scientific paper

10.1142/S0217751X02010170

The first heat kernel coefficients are calculated for a dispersive ball whose permittivity at high frequency differs from unity by inverse powers of the frequency. The corresponding divergent part of the vacuum energy of the electromagnetic field is given and ultraviolet divergencies are seen to be present. Also in a model where the number of atoms is fixed the pressure exhibits infinities. As a consequence, the ground-state energy for a dispersive dielectric ball cannot be interpreted easily.

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