Aspects of CPT-even Lorentz-symmetry violating physics in a supersymmetric scenario

H Belich,Patricio Gaete,L D Bernald,J A Helayël-Neto,F J L Leal

doi:10.1140/epjc/s10052-015-3447-0

Abstract

Background fermion condensates in a landscape dominated by global SUSY are reassessed in connection with a scenario where Lorentz symmetry is violated in the bosonic sector (actually, the photon sector) by a $CPT$-even $k_F$-term. An effective photonic action is discussed that originates from the supersymmetric background fermion condensates. Also, the photino mass emerges in terms of a particular condensate contrary to what happens in the $k_{AF}$-violation. Finally, the interparticle potential induced by the effective photonic action is investigated and a confining profile is identified.

Highlights

Models that realize the breaking of Lorentz symmetry have raised a great deal of interest after Kostelecký and Samuel had shown [1,2,3,4,5,6,7], in the context of bosonic strings, that condensation of tensor fields is dynamically possible, contrary to the physics of the standard model (SM), whose dynamics does not yield Lorentz-symmetry violation (LSV)
Motivated by the fact that SUSY reveals that LSV is realized with a bosonic background along with a whole set of fermions that condensate in the process, we pursue here another investigation to better understand the issue: we select the so-called kF term, for which CPT is not broken, and we study the effect of the fermion condensates associated to this type of breaking on the physics of the photon and photino
The present work provides an investigation whose approach basically consists in assuming that LSV takes place in an environment dominated by SUSY, and we adopt the viewpoint that the bosonic background usually adopted to realize the breaking of Lorentz symmetry is part of a whole setup with fermionic SUSY partners

Summary

Introduction

Models that realize the breaking of Lorentz symmetry have raised a great deal of interest after Kostelecký and Samuel had shown [1,2,3,4,5,6,7], in the context of bosonic strings, that condensation of tensor fields is dynamically possible, contrary to the physics of the standard model (SM), whose dynamics does not yield Lorentz-symmetry violation (LSV). Motivated by the fact that SUSY reveals that LSV is realized with a bosonic background along with a whole set of fermions that condensate in the process, we pursue here another investigation to better understand the issue: we select the so-called kF term, for which CPT is not broken, and we study the effect of the fermion condensates associated to this type of breaking on the physics of the photon and photino. We prefer to quote below the component-field action directly in terms of Majorana spinors, for it is much simpler and one can control much more the various couplings present in the action At this point, we make a special consideration about the background superfield : taking S linear in xμ (S = ξμxμ, ξμ constant), ∂μζ = 0, and G = 0 is compatible with SUSY, in the sense that these properties are kept if global SUSY transformations are performed, and, we reproduce the kF term as we wished from the very beginning. Appears as an auxiliary field and, we are going to eliminate it upon using its corresponding equation of motion

Eliminating the auxiliary field

Dispersion relations and a purely photonic efective action

Interaction energy

Concluding remarks