Surface Divergences and Boundary Energies in the Casimir Effect

Details Surface Divergences and Boundary Energies in the Casimir Effect Surface Divergences and Boundary Energies in the Casimir Effect

2005-10-27

arxiv.org/abs/hep-th/0510236v2

J.Phys. A39 (2006) 6543-6550

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, 1 figure, submitted to proceedings of QFEXT05

Scientific paper

10.1088/0305-4470/39/21/S52

Although Casimir, or quantum vacuum, forces between distinct bodies, or self-stresses of individual bodies, have been calculated by a variety of different methods since 1948, they have always been plagued by divergences. Some of these divergences are associated with the volume, and so may be more or less unambiguously removed, while other divergences are associated with the surface. The interpretation of these has been quite controversial. Particularly mysterious is the contradiction between finite total self-energies and surface divergences in the local energy density. In this paper we clarify the role of surface divergences.

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