Casimir-Polder interactions with massive photons: Implications for BSM physics

Abstract

We present the derivation of the Casimir-Polder interactions mediated by a massive photon between two neutral systems described in terms of their atomic polarizability tensors. We find a compact expression for the leading term at large distances between the two systems. Our result reduces, in the mass-less photon limit, to the standard Casimir-Polder. We discuss implications of our findings with respect to recent scenarios of physics beyond the standard model such as universal extra dimensions, Randall-Sundrum and scale-invariant models. For each model we compute the correction to the Casimir-Polder interaction in terms of the free parameters.

Ultralight dark photon and Casimir effect

“…Finally, note that there are physics scenarios beyond the Standard Model that are different from the dark photon model. The implications of the Casimir effect for models such as universal extra dimensions, Randall-Sundrum models, and scale-invariant models have been discussed in [50].…”

Constraints on Theoretical Predictions beyond the Standard Model from the Casimir Effect and Some Other Tabletop Physics

“…The effect of a nonzero photon mass on the Casimir-Polder interaction between two polarized particles was considered in [132] with applications to several theoretical approaches beyond the Standard Model. It was noted that the absence of deviations in the standard Casimir-Polder force calculated using the massless photons from the measurement data could be used to place new constraints on some extradimensional models.…”

Entanglement dynamics for two-level quantum systems coupled with massive scalar fields

“…[30][31][32][33]. Also, there has been longstanding interest in the possibility of a nonzero photon mass for which massive scalar fields can serve as components of the massive photon field [34][35][36], and its implications on the Casimir and Casimir-Polder effects have been studied [37][38][39]. Second, in certain cases, an environment can be effectively described by a massive field.…”