Bosonic Casimir Effect in an Aether-like Lorentz-Violating Scenario with Higher Order Derivatives

In this paper, we investigate the bosonic Casimir effect in a Lorentz-violating symmetry scenario. The theoretical model adopted consists of a real massive scalar quantum field confined in a region between two large parallel plates, having its dynamics governed by a modified Klein-Gordon equation that presents a Lorentz symmetry-breaking term. In this context, we admit that the quantum field obeys specific boundary conditions on the plates. The Lorentz-violating symmetry is implemented by the presence of an arbitrary constant space-like vector in a CPT-even aether-like approach, considering a direct coupling between this vector with the derivative of the field in higher order. The modification of the Klein-Gordon equation produces important corrections on the Casimir energy and pressure. Thus, we show that these corrections strongly depend on the order of the higher derivative term and the specific direction of the constant vector, as well as the boundary conditions considered.

Automated summary

In this paper, the authors investigate the impact of Lorentz violation on the bosonic Casimir effect. They adopt a theoretical model where a real massive scalar quantum field is confined between two large parallel plates, with its dynamics governed by a modified Klein-Gordon equation that includes a Lorentz-breaking term. The authors show that the corrections to the Casimir energy and pressure strongly depend on the order of the higher derivative term, the direction of the constant vector, and the specific boundary conditions considered.