MiS Preprint Repository
We have decided to discontinue the publication of preprints on our preprint server end of 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.
Heat kernel coefficients and divergencies of the Casimir energy for the dispersive sphere
Michael Bordag and Klaus KirstenAbstract
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.
- Received:
- 05.04.02
- Published:
- 05.04.02
- PACS:
- 12.20.DS, 03.70.+k, 77.22.Ch
- Keywords:
- heat kernel, casimir energy, dispersive medium