The supersymmetric extension of the replica model

TL;DR

This paper develops a supersymmetric extension of the replica model, analyzing gluon and gluino propagators at tree-level, revealing a confined supersymmetric model akin to the Gribov-Zwanziger framework.

Contribution

It introduces the first $ ext{N}=1$ supersymmetric replica model and computes key propagators, bridging supersymmetry with confinement mechanisms.

Findings

Gluon and gluino propagators exhibit confinement features.

The model aligns with the supersymmetric Gribov-Zwanziger approach.

Tree-level results suggest a consistent supersymmetric confinement scenario.

Abstract

We perform a $\mathcal{N}=1$ supersymmetric extension of the replica model quantized in the Landau gauge and compute the gluon and gluino propagators at tree-level, such results display a supersymmetric confined model very similar to the supersymmetric version of the Gribov-Zwanziger approach.