Examinando por Autor "Droguett, Byron"

Mostrando 1 - 3 de 3
  • Miniatura
    Ítem
    Casimir effect of a rough membrane in 2 + 1 Hořava Lifshitztheory
    (SPRINGER, 2024) Bórquez, Claudio; Droguett, Byron
    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.
  • Miniatura
    Ítem
    Fractional Einstein–Gauss–Bonnet Scalar Field Cosmology
    (MDPI, 2024) Micolta Riascos, Bayron; Millano, Alfredo D.; Leon, Genly; Droguett, Byron; González, Esteban; Magaña, Juan
    fractional calculus; dynamical systems; scalar field cosmology; modified gravity
  • Miniatura
    Ítem
    Renormalization of the nonprojectable Hořava theory
    (American Physical Society, 2024) Bellorín, Jorge; Bórquez, Claudio; Droguett, Byron
    We present the proof of renormalization of the Hořava theory in the non projectable version. We obtain a form of the quantum action that exhibits a manifest Becchi-Rouet-Stora-Tyutin–symmetry structure. Previous analysis has shown that the divergences produced by irregular loops cancel completely between them. The remaining divergences are local. The renormalization is achieved by using the approach developed by Barvinsky et al. with the background-field formalism.