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.

arXiv comment10 pages, 2 figures, revtex4 format, to appear in Nucl. Phys. B

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• Novel Casimir wormholes in Einstein gravity
• 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
• One-Loop Correction to the Casimir Energy in Lorentz-Violating ${\varphi }^4$ Theory with Rough Membrane Boundaries
• Kink properties in Lorentz-violating scalar field theory
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension