Electromagnetic Lifshitz Formula for Small-Width Mirrors from Functional Determinants

César D. Fosco, María L. Remaggi

Instituto Balseiro, Universidad Nacional de Cuyo, Centro Atómico Bariloche, Comisión Nacional de Energ a Atómica, Bariloche, Argentina.

DOI: 10.4236/am.2013.48157                

Abstract

We extend a recently proposed Quantum Field Theory (QFT) approach to the Lifshitz formula, originally implemented for a real scalar field, to the case of a fluctuating vacuum Electromagnetic (EM) field, coupled to two flat, parallel mirrors. The general result is presented in terms of the invariants of the vacuum polarization tensors due to the media on each mirror. We consider mirrors that have small widths, with the zero-width limit as a particular case. We apply the latter to models involving graphene sheets, obtaining results which are consistent with previous ones.

Keywords

Gelfand-Yaglom; Casimir; Vacuum

Conflicts of Interest

The authors declare no conflicts of interest.

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