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arXiv · 2501.05597

Casimir Effect of rough plates under a magnetic field in Ho\v{r}ava-Lifshitz theory

Byron Droguett·Claudio Bórquez
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Abstract

We investigate the Casimir effect for parallel plates within the framework of Ho\v{r}ava-Lifshitz theory in $3+1$ dimensions, considering the effects of roughness, anisotropic scaling factor, and an uniform constant magnetic field. Quantum fluctuations are induced by an anisotropic charged-scalar quantum field subject to Dirichlet boundary conditions. To incorporate surface roughness, we apply a coordinate transformation to flatten the plates, treating the remaining roughness terms as potential. The spectrum is derived using perturbation theory and regularized with the $\zeta$-function method. As an illustrative example, we consider plates with periodic boundary conditions.

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Byron Droguett, Claudio Bórquez. 2025-01-09. Casimir Effect of rough plates under a magnetic field in Ho\v{r}ava-Lifshitz theory. https://doi.org/10.1016/j.nuclphysb.2025.116878

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