Casimir effect of a rough membrane in 2 + 1 Hořava Lifshitztheory
| dc.contributor.author | Claudio Bórquez | |
| dc.contributor.author | Byron Droguett | |
| dc.date.accessioned | 2026-04-07T16:19:18Z | |
| dc.date.available | 2026-04-07T16:19:18Z | |
| dc.date.issued | 2024 | |
| dc.description.abstract | We investigate the Casimir effect of a rough membrane within the framework of the Hořava–Lifshitz the-ory in 2+1 dimensions. Quantum fluctuations are induced by an anisotropic scalar field subject to Dirichlet boundary conditions. We implement a coordinate transformation to render the membrane completely flat, treating the remaining terms associated with roughness as a potential. The spectrum is obtained through perturbation theory and regularized usingtheζ-function method. We present an explicit example of a membrane with periodic border. Additionally, we consider the effect of temperature. Our findings reveal that the Casimir energy and force depend on roughness, the anisotropic scaling factor and temperature. | |
| dc.description.sponsorship | No declara | |
| dc.identifier.doi | 10.1140/epjc/s10052-024-12420-6 | |
| dc.identifier.issn | 14346044 | |
| dc.identifier.uri | https://repositorioabierto.uantof.cl/handle/uantof/685 | |
| dc.language.iso | en | |
| dc.rights | Attribution 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.source | European Physical Journal C | |
| dc.title | Casimir effect of a rough membrane in 2 + 1 Hořava Lifshitztheory | |
| dc.type | Article | |
| oaire.citation.volume | 84 | |
| organization.identifier.ror | Universidad de Antofagasta | |
| uantof.identificator.department | Departamento de Física |
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