A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation
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 hμν that represents a constant background...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2020-08-01
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| Series: | Physics Letters B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269320303713 |
| _version_ | 1818305191421673472 |
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| author | C.A. Escobar A. Martín-Ruiz O.J. Franca Marcos A. G. Garcia |
| author_facet | C.A. Escobar A. Martín-Ruiz O.J. Franca Marcos A. G. Garcia |
| author_sort | C.A. Escobar |
| collection | DOAJ |
| description | 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 hμν 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 Fc(L)=F0(L˜)/−dethμν, where F0 is the Lorentz-invariant expression, and L˜ is the plate separation rescaled by the component of hμν normal to the plates, L˜=L/−hnn. We also analyze the Casimir stress including finite-temperature corrections. The local behavior of the Casimir energy density is also discussed. |
| first_indexed | 2024-12-13T06:22:40Z |
| format | Article |
| id | doaj.art-fe83c3e551ef46cd9eba34c0583e6cf7 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-12-13T06:22:40Z |
| publishDate | 2020-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-fe83c3e551ef46cd9eba34c0583e6cf72022-12-21T23:56:49ZengElsevierPhysics Letters B0370-26932020-08-01807135567A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violationC.A. Escobar0A. Martín-Ruiz1O.J. Franca2Marcos A. G. Garcia3Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364, Ciudad de México 01000, Mexico; Corresponding author.Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, 04510 Ciudad de México, MexicoInstituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, 04510 Ciudad de México, MexicoInstituto de Física Teórica (IFT), UAM-CSIC, Campus de Cantoblanco, 28049 Madrid, SpainWe 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 hμν 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 Fc(L)=F0(L˜)/−dethμν, where F0 is the Lorentz-invariant expression, and L˜ is the plate separation rescaled by the component of hμν normal to the plates, L˜=L/−hnn. We also analyze the Casimir stress including finite-temperature corrections. The local behavior of the Casimir energy density is also discussed.http://www.sciencedirect.com/science/article/pii/S0370269320303713Casimir effectThermal Casimir effectLorentz violation |
| spellingShingle | C.A. Escobar A. Martín-Ruiz O.J. Franca Marcos A. G. Garcia A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation Physics Letters B Casimir effect Thermal Casimir effect Lorentz violation |
| title | A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation |
| title_full | A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation |
| title_fullStr | A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation |
| title_full_unstemmed | A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation |
| title_short | A non-perturbative approach to the scalar Casimir effect with Lorentz symmetry violation |
| title_sort | non perturbative approach to the scalar casimir effect with lorentz symmetry violation |
| topic | Casimir effect Thermal Casimir effect Lorentz violation |
| url | http://www.sciencedirect.com/science/article/pii/S0370269320303713 |
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