NLO radiative correction to the Casimir energy in Lorentz-violating scalar field theory

Abstract

Violation of the Lorentz symmetry has important effects on physical quantities including field propagators. Therefore, in addition to the leading order, the sub-leading order of quantities may be modified. In this paper, we calculate the next to leading (NLO) radiative corrections to the Casimir energy in the presence of two perfectly conducting parallel plates for ${\varphi }^4$ theory with a Lorentz-breaking extension. We do the renormalization and investigate these NLO corrections for three distinct directions of the Lorentz violation; temporal direction, parallel and perpendicular to the plates.

10 pages, 2 figures, revtex4 format, to appear in Nucl. Phys. B

References in corpus (7)

• Casimir Force and In Situ Surface Potential Measurements on Nanomembranes
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• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Casimir effect between ponderable media as modeled by the standard model extension
• A new renormalization approach to the Dirichlet Casimir effect for ϕ^4 theory in (1+1) dimensions
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Cited by in corpus (7)

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• Material boundaries in Carroll-Field-Jackiw Lorentz-violating electrodynamics
• Semi-transparent boundaries in CPT-even Lorentz violating electrodynamics
• Radiative Correction to the Casimir Energy for Lorentz-violating Scalar Field in d+1 Dimensions
• One-Loop Correction to The Casimir Energy in Lifshitz-Like Theory
• Kink properties in Lorentz-violating scalar field theory
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension