Ultralight dark photon and Casimir effect

Abstract

We investigate the influence of a dark photon on the Casimir effect and calculate the corresponding leading contribution to the Casimir energy. For expected magnitudes of the photon - dark photon mixing parameter, the influence turns out to be negligible. The plasmon dispersion relation is also not noticeably modified by the presence of a dark photon.

Comments: 20 pages, no figures, revtex4. Version to be published in International Journal of Theoretical Physics