Derivative expansion for the boundary interaction terms in the Casimir effect: generalized $\delta$-potentials
High Energy Physics - Theory
2009-11-02 v1
Abstract
We calculate the Casimir energy for scalar fields in interaction with finite-width mirrors, described by nonlocal interaction terms. These terms, which include quantum effects due to the matter fields inside the mirrors, are approximated by means of a local expansion procedure. As a result of this expansion, an effective theory for the vacuum field emerges, which can be written in terms of generalized -potentials. We compute explicitly the Casimir energy for these potentials and show that, for some particular cases, it is possible to reinterpret them as imposing imperfect Dirichlet boundary conditions
Keywords
Cite
@article{arxiv.0908.1796,
title = {Derivative expansion for the boundary interaction terms in the Casimir effect: generalized $\delta$-potentials},
author = {C. D. Fosco and F. C. Lombardo and F. D. Mazzitelli},
journal= {arXiv preprint arXiv:0908.1796},
year = {2009}
}
Comments
12 pages, two figures