Casimir effect of a rough membrane in 2 + 1 Hořava Lifshitztheory

dc.contributor.authorBórquez, Claudio
dc.contributor.authorDroguett, Byron
dc.date.accessioned2026-04-07T16:19:18Z
dc.date.available2026-04-07T16:19:18Z
dc.date.issued2024
dc.description.abstractWe 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.identifier.doi10.1140/epjc/s10052-024-12420-6
dc.identifier.issn1434-6044
dc.identifier.urihttps://repositorioabierto.uantof.cl/handle/uantof/685
dc.language.isoen
dc.publisherSPRINGER
dc.rightsAttribution 4.0 Internationalen
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.sourceEuropean Physical Journal C
dc.titleCasimir effect of a rough membrane in 2 + 1 Hořava Lifshitztheory
dc.typeArticle
oaire.citation.issue1
oaire.citation.volume84
organization.identifier.rorhttps://ror.org/04eyc6d95
organization.legalNameUniversidad de Antofagasta
uantof.identificator.departmentDepartamento de Física
uantof.identificator.facultyFacultad de Ciencias Básicas
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