Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario
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arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866929594477576192 |
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| author | Droguett, Byron Bórquez, Claudio |
| author_facet | Droguett, Byron Bórquez, Claudio |
| contents | We explore the Casimir effect of a rough membrane within the framework of theories that break Lorentz symmetry. We consider two constant Aether vectors: one timelike and other spacelike, simultaneously. We employ an appropriate change of coordinates such that the membrane assumes a completely flat border and the remaining terms associated with the roughness are considered as part of the potential. Quantum fluctuations are induced by a scalar quantum field subject to Dirichlet boundary conditions. The spectrum is obtained through perturbation theory and regularized using the $ζ$--function method. We provide an explicit example of a membrane with periodic boundaries. The presence of Aether vectors has a significant impact on the dominant term of the Casimir effect, while roughness only affects the secondary terms. Additionally, we examine the finite-temperature case. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_13187 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario Droguett, Byron Bórquez, Claudio High Energy Physics - Theory Mathematical Physics We explore the Casimir effect of a rough membrane within the framework of theories that break Lorentz symmetry. We consider two constant Aether vectors: one timelike and other spacelike, simultaneously. We employ an appropriate change of coordinates such that the membrane assumes a completely flat border and the remaining terms associated with the roughness are considered as part of the potential. Quantum fluctuations are induced by a scalar quantum field subject to Dirichlet boundary conditions. The spectrum is obtained through perturbation theory and regularized using the $ζ$--function method. We provide an explicit example of a membrane with periodic boundaries. The presence of Aether vectors has a significant impact on the dominant term of the Casimir effect, while roughness only affects the secondary terms. Additionally, we examine the finite-temperature case. |
| title | Casimir effect of a rough membrane in an Aether-like Lorentz-violating scenario |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2404.13187 |