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arXiv · 2504.11430

The 2D Lorentz-violating fermionic Casimir effect under thermal conditions

K. E. L. de Farias·M. A. Anacleto·Iver Brevik·F. A. Brito·E. Passos·Amilcar Queiroz·João R. L. Santos
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Abstract

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.

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K. E. L. de Farias, M. A. Anacleto, Iver Brevik, F. A. Brito, E. Passos, Amilcar Queiroz, João R. L. Santos. 2025-04-15. The 2D Lorentz-violating fermionic Casimir effect under thermal conditions. https://arxiv.org/abs/2504.11430

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