Two-dimensional Lorentz-violating Casimir effect
In this study, we consider the four-dimensional Maxwell electrodynamics extended with CPT-even Myers-Pospelov Lorentz-violating dimension-six operators to investigate the associated two-dimensional properties in the context of quantum vacuum fluctuation effects, namely, the Casimir effect. Upon proj...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2024-05-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269324001990 |
| _version_ | 1797203122126323712 |
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| author | K.E.L. de Farias M.A. Anacleto F.A. Brito E. Passos Herondy Mota |
| author_facet | K.E.L. de Farias M.A. Anacleto F.A. Brito E. Passos Herondy Mota |
| author_sort | K.E.L. de Farias |
| collection | DOAJ |
| description | In this study, we consider the four-dimensional Maxwell electrodynamics extended with CPT-even Myers-Pospelov Lorentz-violating dimension-six operators to investigate the associated two-dimensional properties in the context of quantum vacuum fluctuation effects, namely, the Casimir effect. Upon projecting out the 4D theory down to a 2D theory we obtain analogs of these operators leading to a modified dispersion relation in a Lorentz invariance violation (LIV) scalar model equivalent to the electromagnetic theory. By making use of the modified dispersion relation, we derive exact analytic expressions for the Casimir energy and force induced by imposing Dirichlet boundary conditions on the scalar field. In the regime where the LIV parameter becomes very small, we recover known results for the Casimir energy and force plus correction terms due to the LIV. |
| first_indexed | 2024-04-24T08:14:18Z |
| format | Article |
| id | doaj.art-c173205c6c654dd39ded8050669b9997 |
| institution | Directory Open Access Journal |
| issn | 0370-2693 |
| language | English |
| last_indexed | 2024-04-24T08:14:18Z |
| publishDate | 2024-05-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj.art-c173205c6c654dd39ded8050669b99972024-04-17T04:48:30ZengElsevierPhysics Letters B0370-26932024-05-01852138641Two-dimensional Lorentz-violating Casimir effectK.E.L. de Farias0M.A. Anacleto1F.A. Brito2E. Passos3Herondy Mota4Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, Paraíba, Brazil; Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, Brazil; Corresponding author.Departamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, Paraíba, BrazilDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, Paraíba, Brazil; Departamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, BrazilDepartamento de Física, Universidade Federal de Campina Grande, Caixa Postal 10071, 58429-900, Campina Grande, Paraíba, BrazilDepartamento de Física, Universidade Federal da Paraíba, Caixa Postal 5008, João Pessoa, Paraíba, BrazilIn this study, we consider the four-dimensional Maxwell electrodynamics extended with CPT-even Myers-Pospelov Lorentz-violating dimension-six operators to investigate the associated two-dimensional properties in the context of quantum vacuum fluctuation effects, namely, the Casimir effect. Upon projecting out the 4D theory down to a 2D theory we obtain analogs of these operators leading to a modified dispersion relation in a Lorentz invariance violation (LIV) scalar model equivalent to the electromagnetic theory. By making use of the modified dispersion relation, we derive exact analytic expressions for the Casimir energy and force induced by imposing Dirichlet boundary conditions on the scalar field. In the regime where the LIV parameter becomes very small, we recover known results for the Casimir energy and force plus correction terms due to the LIV.http://www.sciencedirect.com/science/article/pii/S0370269324001990 |
| spellingShingle | K.E.L. de Farias M.A. Anacleto F.A. Brito E. Passos Herondy Mota Two-dimensional Lorentz-violating Casimir effect Physics Letters B |
| title | Two-dimensional Lorentz-violating Casimir effect |
| title_full | Two-dimensional Lorentz-violating Casimir effect |
| title_fullStr | Two-dimensional Lorentz-violating Casimir effect |
| title_full_unstemmed | Two-dimensional Lorentz-violating Casimir effect |
| title_short | Two-dimensional Lorentz-violating Casimir effect |
| title_sort | two dimensional lorentz violating casimir effect |
| url | http://www.sciencedirect.com/science/article/pii/S0370269324001990 |
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