Electromagnetic Casimir effect in a Lorentz symmetry violation model

da Silva, Dêivid R.; de Mello, E. R. Bezerra

doi:10.48550/arxiv.2006.12924

Cited by 1 publication

(1 citation statement)

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“…In this sense, the results obtained for the LV Casimir energies include two different ingredients: the presence of a background constant vector and spatial higher-order derivative terms. The analysis of the Casimir energy associated with electromagnetic fields in an LV scenario was developed in [37]. In this work, the corrections on the standard Casimir energy due to two different LV approaches are discussed.…”

Section: Discussionmentioning

confidence: 99%

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

Dantas,

Mota,

Bezerra de Mello

2023

Universe

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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.

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Section: Discussionmentioning

confidence: 99%