The 2D Lorentz-violating fermionic Casimir effect under thermal conditions
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arXiv
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| Autores principales: | , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917074656296960 |
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| author | de Farias, K. E. L. Anacleto, M. A. Brevik, Iver Brito, F. A. Passos, E. Queiroz, Amilcar Santos, João R. L. |
| author_facet | de Farias, K. E. L. Anacleto, M. A. Brevik, Iver Brito, F. A. Passos, E. Queiroz, Amilcar Santos, João R. L. |
| contents | In the present work, we study a fermionic Lorentz invariance violation (LIV) theory with a CPT-even extension and analyze its impact on the Casimir effect under the MIT bag boundary condition model in a low-dimensional setting, where results are obtained without any approximations for a null-temperature system. Moreover, the Matsubara formalism is applied to derive closed expressions for the influence of temperature on the physical observables: Casimir energy, Casimir force, and entropy associated with the system in a LIV context. For each thermal observable, the influence of the LIV correction term is considered in the analysis of both low- and high-temperature regimes. Additionally, we construct a condensed matter analogue using the SSH model, where nonlinear fermionic dispersion and boundary-induced vacuum energy emerge, reproducing the analytical structure of the LIV Casimir effect. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_11430 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The 2D Lorentz-violating fermionic Casimir effect under thermal conditions de Farias, K. E. L. Anacleto, M. A. Brevik, Iver Brito, F. A. Passos, E. Queiroz, Amilcar Santos, João R. L. High Energy Physics - Theory General Relativity and Quantum Cosmology In the present work, we study a fermionic Lorentz invariance violation (LIV) theory with a CPT-even extension and analyze its impact on the Casimir effect under the MIT bag boundary condition model in a low-dimensional setting, where results are obtained without any approximations for a null-temperature system. Moreover, the Matsubara formalism is applied to derive closed expressions for the influence of temperature on the physical observables: Casimir energy, Casimir force, and entropy associated with the system in a LIV context. For each thermal observable, the influence of the LIV correction term is considered in the analysis of both low- and high-temperature regimes. Additionally, we construct a condensed matter analogue using the SSH model, where nonlinear fermionic dispersion and boundary-induced vacuum energy emerge, reproducing the analytical structure of the LIV Casimir effect. |
| title | The 2D Lorentz-violating fermionic Casimir effect under thermal conditions |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2504.11430 |