Eur. Phys. J. C (2013) 73: 2632
https://doi.org/10.1140/epjc/s10052-013-2632-2

Regular Article - Theoretical Physics

The photino sector and a confining potential in a supersymmetric Lorentz-symmetry-violating model

¹ Departamento de Física e Química, Universidade Federal do Espírito Santo, Vitória, ES, Brasil
² Centro Brasileiro de Pesquisas Físicas, Rio de Janeiro, RJ, Brasil
³ Departmento de Física and Centro Científico-Tecnológico de Valparaíso, Universidad Técnica Federico Santa María, Valparaíso, Chile

^* e-mail: patricio.gaete@usm.cl

Received: 30 July 2013
Revised: 11 September 2013
Published online: 5 November 2013

Abstract

We study the spectrum of the minimal supersymmetric extension of the Carroll–Field–Jackiw model for Electrodynamics with a topological Chern–Simons-like Lorentz-symmetry violating term. We identify a number of independent background fermion condensates, work out the gaugino dispersion relation and propose a photonic effective action to consider aspects of confinement induced by the SUSY background fermion condensates, which also appear to signal Lorentz-symmetry violation in the photino sector of the action. Our calculations of the static potential are carried out within the framework of the gauge-invariant but path-dependent variables formalism which are alternative to the Wilson loop approach. Our results show that the interaction energy contains a linear term leading to the confinement of static probe charges.