The Casimir Force in a Lorentz Violating Theory

Abstract

We study the effects of the minimal extension of the standard model including Lorentz violation on the Casimir force between two parallel conducting plates in vacuum. We provide explicit solutions for the electromagnetic field using scalar field analogy, for both the cases in which the Lorentz violating terms come from the CPT-even or CPT-odd terms. We also calculate the effects of the Lorentz violating terms for a fermion field between two parallel conducting plates and analyze the modifications of the Casimir force due to the modifications of the Dirac equation. In all cases under consideration, the standard formulas for the Casimir force are modified by either multiplicative or additive correction factors, the latter case exhibiting different dependence on the distance between the plates.

20 pages, no figures, references added, accepted for publication in Phys. Rev. D

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Cited by in corpus (14)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• One-Loop Renormalization of Pure Yang-Mills with Lorentz Violation
• One-Loop Renormalization of the Electroweak Sector with Lorentz Violation
• One-Loop Renormalization of QCD with Lorentz Violation
• The Casimir Force in Randall Sundrum Models
• The Casimir Force in Randall Sundrum Models with q+1 dimensions
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Radius Destabilization in Five Dimensional Orbifolds Due to an Enhanced Casimir Effect
• Influence of Lorentz-violating terms on a two-level system
• Tests of Lorentz symmetry using antihydrogen