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arXiv · 2501.11588

On global vortices in the higher derivative Lorentz-violating scenario

M. Paganelly·M. A. Anacleto·F. A. Brito·E. Passos
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Abstract

We study the influence of Lorentz invariance violation (LIV) background in energy regularization of global structures in $(2, 1)$--dimensions. To this end, we consider a model in which the complex scalar and fixed three-vector couple as a high derivative order term. We show that LIV-background does not affect the energy and the equation of motion of neutral global structures. However, we observe that the charged structures are sensitive to LIV-background by presenting signatures in the electric field whose intensity is controlled by the LIV-parameter. Furthermore, the procedure developed leads to first-order solutions with finite energy and a regularized electric field.

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M. Paganelly, M. A. Anacleto, F. A. Brito, E. Passos. 2025-01-20. On global vortices in the higher derivative Lorentz-violating scenario. https://arxiv.org/abs/2501.11588

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