Casimir effect of a Lorentz-violating scalar in magnetic field
arXiv:2005.07830 · doi:10.1142/S0217751X20502097
Abstract
In this paper I study the Casimir effect caused by a charged and massive scalar field that breaks Lorentz invariance in a CPT-even, aether-like manner. I investigate the case of a scalar field that satisfies Dirichlet or mixed (Dirichlet-Neumann) boundary conditions on a pair of very large plane parallel plates. The case of Neumann boundary conditions is straightforward and will not be examined in detail. I use the -function regularization technique to study the effect of a constant magnetic field, orthogonal to the plates, on the Casimir energy and pressure. I investigate the cases of a timelike Lorentz asymmetry, a spacelike Lorentz asymmetry in the direction perpendicular to the plates, and a spacelike asymmetry in the plane of the plates and, in all those cases, derive simple analytic expressions for the zeta function, Casimir energy and pressure in the limits of small plate distance, strong magnetic field and large scalar field mass. I discover that the Casimir energy and pressure, and their magnetic corrections, all strongly depend on the direction of the unit vector that implements the breaking of the Lorentz symmetry.
arXiv comment10 pages, no figures
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Cited by in corpus (11)
- Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
- The Lorentz-violating real scalar field at thermal equilibrium
- Scalar Casimir effects in a Lorentz violation scenario induced by the presence of constant vectors
- Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
- Casimir effect in 2+1 Horava gravity
- Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
- Casimir Effect of rough plates under a magnetic field in Hořava-Lifshitz theory
- Casimir effect in magnetic dual chiral density waves
- Scalar Casimir effect for a conducting cylinder in a Lorentz violating background
- Anomalous-magnetic-moment-enhanced Casimir effect
- One-Loop Quantum Corrections to the Casimir Effect for Smoothly Rough Plates in the Low-Temperature Regime