A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation
| Autor: | C. A. Escobar, Marcos A. G. Garcia, O. J. Franca, A. Martín-Ruiz |
|---|---|
| Přispěvatelé: | UAM. Departamento de Física Teórica |
| Rok vydání: | 2020 |
| Předmět: |
High Energy Physics - Theory
Nuclear and High Energy Physics Scalar (mathematics) FOS: Physical sciences Lorentz covariance 01 natural sciences Stress (mechanics) Casimir effect Vacuum energy Lorentz Violation Casimir Effect 0103 physical sciences Symmetric tensor Thermal Casimir effect 010306 general physics Mathematical physics Nernst-Ettingshausen Effect Physics Thermal Casimir Effect 010308 nuclear & particles physics Lorentz violation Casimir Force Física lcsh:QC1-999 High Energy Physics - Theory (hep-th) Quantum Theory Non-perturbative Scalar field lcsh:Physics |
| Zdroj: | Biblos-e Archivo. Repositorio Institucional de la UAM instname Physics Letters B, Vol 807, Iss, Pp 135567-(2020) Physics Letters |
| Popis: | We determine the effect of Lorentz invariance violation in the vacuum energy and stress between two parallel plates separated by a distance $L$, in the presence of a massive real scalar field. We parametrize the Lorentz-violation in terms of a symmetric tensor $h^{\,\mu\nu}$ that represents a constant background. Through the Green's function method, we obtain the global Casimir energy, the Casimir force between the plates and the energy density in a closed analytical form without resorting to perturbative methods. With regards to the pressure, we find that $\mathcal{F}_c(L)=\mathcal{F}_0(\tilde{L})/\sqrt{-{\rm det}\, h^{\,\mu\nu}}$, where $\mathcal{F}_0$ is the Lorentz-invariant expression, and $\tilde{L}$ is the plate separation rescaled by the component of $h^{\,\mu\nu}$ normal to the plates, $\tilde{L}=L/\sqrt{-h^{nn}}$. We also analyze the Casimir stress including finite-temperature corrections. The local behavior of the Casimir energy density is also discussed. Comment: 6 pages, No figures |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|