Casimir Energies in Light of Quantum Field Theory

Details Casimir Energies in Light of Quantum Field Theory Casimir Energies in Light of Quantum Field Theory

2002-07-23

arxiv.org/abs/hep-th/0207205v3

Phys.Lett.B572:196-201,2003

Physics

High Energy Physics

High Energy Physics - Theory

5pages, REVTeX, no figures., Modifications to emphasize novel aspects of work

Scientific paper

10.1016/j.physletb.2003.03.003

We study the Casimir problem as the limit of a conventional quantum field theory coupled to a smooth background. The Casimir energy diverges in the limit that the background forces the field to vanish on a surface. We show that this divergence cannot be absorbed into a renormalization of the parameters of the theory. As a result, the Casimir energy of the surface and other quantities like the surface tension, which are obtained by deforming the surface, cannot be defined independently of the details of the coupling between the field and the matter on the surface. In contrast, the energy density away from the surface and the force between rigid surfaces are finite and independent of these complications.

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