Casimir effect of a rough membrane in 2+1 Horava-Lifshitz theory

Autor:	Bórquez, Claudio, Droguett, Byron
Rok vydání:	2023
Předmět:	High Energy Physics - Theory General Relativity and Quantum Cosmology Mathematical Physics
Zdroj:	Eur.Phys.J.C 84, 62 (2024)
Druh dokumentu:	Working Paper
DOI:	10.1140/epjc/s10052-024-12420-6
Popis:	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 $\zeta$--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. Comment: Minor correction in introduction
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.01997 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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