On global vortices in the higher derivative Lorentz-violating scenario

TL;DR

This paper investigates how Lorentz invariance violation (LIV) affects the energy and electric field of global vortices in a (2,1)-dimensional model, revealing that LIV influences charged structures but not neutral ones.

Contribution

It introduces a high derivative order model coupling a complex scalar and a fixed three-vector to study LIV effects on global vortices, providing new insights into energy regularization and electric field signatures.

Findings

LIV does not affect neutral vortex energy or equations of motion.

Charged vortices exhibit electric field signatures sensitive to LIV parameters.

The developed method yields finite energy solutions with regularized electric fields.

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.