Ultralight dark photon and Casimir effect

TL;DR

This paper examines how a dark photon might affect the Casimir effect and finds that, for realistic parameters, its influence is negligible, leaving the Casimir energy and plasmon dispersion largely unchanged.

Contribution

It provides a calculation of the dark photon's effect on the Casimir energy and plasmon dispersion, showing minimal impact for expected mixing parameters.

Findings

Dark photon influence on Casimir energy is negligible.

Plasmon dispersion relation remains largely unaffected.

Expected photon-dark photon mixing parameters produce insignificant effects.

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.