Casimir effect of rough plates under a magnetic field in Hořava-Lifshitz theory
Year: 2025
Type: article
Abstract: We investigate the Casimir effect for parallel plates within the framework of Hořava-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 ζ -function method. As an illustrative example, we consider plates with periodic boundary conditions.
Source: Nuclear Physics B
Authors: Byron Droguett, Claudio Bórquez
Institutions: Universidad de Antofagasta, San Sebastián University
Language: English
Subfield: Atomic and Molecular Physics, and Optics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4408738899