Casimir effect of rough plates under a magnetic field in Hořava-Lifshitz theory
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...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-05-01
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| Series: | Nuclear Physics B |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321325000872 |
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| Summary: | 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. |
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| ISSN: | 0550-3213 |