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The Casimir Force in a Lorentz Violating Theory
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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.
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Induced current by a magnetic flux in $(1+2)-$dimensional conical spacetime in a Ho{\v{r}}ava-Lifshitz Lorentz-violating scenario
In (2+1)D conical spacetime with HL Lorentz violation, a magnetic flux plus concentric Robin circle induces only azimuthal bosonic vacuum currents whose free part is finite at the core for ξ≥2.
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