Casimir effect with nonlocal boundary interactions

Details Casimir effect with nonlocal boundary interactions Casimir effect with nonlocal boundary interactions

2009-02-12

arxiv.org/abs/0902.2198v4

Phys.Lett.B675:252,2009

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, LaTeX; minor misprints corrected

Scientific paper

10.1016/j.physletb.2009.03.084

We derive a general expression for the Casimir energy corresponding to two flat parallel mirrors in d+1 dimensions, described by nonlocal interaction potentials. For a real scalar field, the interaction with the mirrors is implemented by a term which is a quadratic form in the field, with a nonlocal kernel. The resulting expression for the energy is a function of the parameters that define the nonlocal kernel. We show that the general expression has the correct limit in the zero width case, and also present the exact solution for a particular case.

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