Lorentz-symmetry violating physics in a supersymmetric scenario in $(2+1)$-D

TL;DR

This paper explores how supersymmetry influences Lorentz-violating physics in a lower-dimensional setting, deriving an effective photon model that exhibits both screening and confining potentials.

Contribution

It presents a novel dimensional reduction of a Lorentz-violating Lagrangian within a supersymmetric framework, revealing new features of the effective photon interaction potential.

Findings

Interaction energy includes a screening component with Bessel functions.

The potential also exhibits a linear confining term.

Supersymmetry affects the structure of Lorentz-violating effective models.

Abstract

We study the dimensional reduction for a $(3+1)$-dimensional Lorentz Violating Lagrangian in the matter and gauge sectors in a Supersymmetric scenario. We thus obtain an effective model for photons induced by the effects of supersymmetry in our framework with Lorentz-symmetry violating. This model is discussed in connection with the attainment of a static potential between charged particles. Our calculation is done within the framework of the gauge-invariant, but path-dependent variable formalism. We thus find that the interaction energy displays a screening part, encoded by Bessel functions, and a linear confining potential.