Casimir energies with finite-width mirrors

Abstract

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

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

References in corpus (1)

• The Casimir force and the quantum theory of lossy optical cavities

Cited by in corpus (3)

• Casimir effect with dynamical matter on thin mirrors
• A Dual Path Integral Representation for Finite Temperature Quantum Field Theory
• On the Casimir energy for scalar fields with bulk inhomogeneities