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Derivative expansion of the electromagnetic Casimir energy for two thin mirrors
Phys. Rev. D 85, 125037 – Published 26 June, 2012
DOI: https://doi.org/10.1103/PhysRevD.85.125037
Abstract
We extend our previous work on a derivative expansion for the Casimir energy, to the case of the electromagnetic field coupled to two thin, imperfect mirrors. The latter are described by means of vacuum polarization tensors localized on the mirrors. We apply the results so obtained to compute the first correction to the proximity force approximation to the static Casimir effect.
Article Text
References (17)
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It has been shown in Ref. [14] that in the almost transparent case the PFA gives the exact result for the scalar vacuum energy. We have checked that, when including the in the interaction term, the exact result for the scalar case is the improved PFA (i.e. it is necessary to consider the terms containing two derivatives of , and there are no corrections with higher derivatives up to ). It is much more complicated to see whether this is true or not in the electromagnetic case for the model considered in this paper.