Casimir Effect of Lorentz-Violating Charged Dirac Field in Background Magnetic Field

Abstract

Abstract We study the effect of the Lorentz violation on the Casimir energy and pressure of a charged Dirac field in a background uniform magnetic field. In the model, the Lorentz violation is parameterized not only by the intensity but also by its direction. We investigate two cases of the direction of violation, namely, time-like and space-like vector cases. We use the boundary condition of the MIT bag model to represent the property of the plates. We show how the Lorentz violation and the magnetic field affect the structure of the Casimir energy and its pressure. We also investigate the weak and strong magnetic field cases with two different limits, heavy and light masses. In addition, we compute the ratio of the influence of the strong magnetic field to that of the weak one for the Casimir energy and its pressure. We find that the strong magnetic field enhances the magnitude of the Casimir energy and its pressure, where the parameter of the intensity of Lorentz violation could scale the plate’s distance.