Casimir energies with finite-width mirrors

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, no figures. Version to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.77.085018

We use a functional approach to the Casimir effect in order to evaluate the exact vacuum energy for a real scalar field in $d+1$ dimensions, in the presence of backgrounds that, in a particular limit, impose Dirichlet boundary conditions on one or two parallel surfaces. Outside of that limit, the background may be thought of as describing finite-width mirrors with frequency-dependent transmission and reflection coefficients. We provide new explicit results for the Casimir energy in some particular backgrounds

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