Casimir energies with finite-width mirrors

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 back...

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Autores principales: Fosco, C.D., Lombardo, F.C., Mazzitelli, F.D.
Formato: JOUR
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15507998_v77_n8_p_Fosco
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Sumario: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 backgrounds are described by a nonlocal effective action and may be thought of as modelling finite-width mirrors with frequency-dependent transmission and reflection coefficients. We obtain formal expressions for the Casimir energy in general backgrounds, and provide new explicit results in some particular cases. © 2008 The American Physical Society.