Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914652107046912 |
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| author | Bórquez, Claudio Droguett, Byron |
| author_facet | Bórquez, Claudio Droguett, Byron |
| contents | We investigate the Casimir effect of a rough membrane within the framework of the Horava-Lifshitz theory 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 using the $ζ$--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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2312_01997 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory Bórquez, Claudio Droguett, Byron High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics We investigate the Casimir effect of a rough membrane within the framework of the Horava-Lifshitz theory 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 using the $ζ$--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. |
| title | Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2312.01997 |