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

Abstract

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.

8 pages, Contribution to the 5th Workshop on Quantum Field Theory under the Influence of External Conditions, Leipzig, Germany, 10-14 Sep 2001

References in corpus (3)

• The heat kernel coefficients for the dielectric cylinder
• Casimir energy and realistic model of dilute dielectric ball
• Divergencies in the Casimir energy for a medium with realistic ultraviolet behavior

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