Casimir effects in Lorentz-violating scalar field theory

Abstract

In this paper we consider a Lorentz-breaking extension of the theory for a real massive scalar quantum field in the region between two large parallel plates, with our manner to break the Lorentz symmetry is CPT-even, aether-like. For this system we calculated the Casimir energy considering different boundary conditions. It turns out to be that the Casimir energy strongly depends on the direction of the constant vector implementing the Lorentz symmetry breaking, as well as on the boundary conditions.

arXiv comment22 pages, version accepted to PRD

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• Fermionic Casimir effect in Horava-Lifshitz theories
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• Casimir effect of a Lorentz-violating scalar in magnetic field
• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
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• Casimir energy and topological mass for a massive scalar field with Lorentz violation
• The Lorentz-violating real scalar field at thermal equilibrium
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• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
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• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• Novel Casimir wormholes in Einstein gravity
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• Exact Lorentz-violating $q$-deformed O($N$) universality class
• One-Loop Correction to the Casimir Energy in Lorentz-Violating ${\varphi }^4$ Theory with Rough Membrane Boundaries
• Massive fermion between two parallel chiral plates
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• Kink properties in Lorentz-violating scalar field theory
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• Casimir Energy for Lorentz-Violating Scalar Field with Helical Boundary Condition in d Spatial Dimensions
• Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
• Æther Coupling Effects on Casimir Energy for Self-Interacting Scalar Field within Extra Dimension