The light bound states of $\mathcal{N}=1$ supersymmetric SU(3) Yang-Mills theory on the lattice

TL;DR

This paper reports on lattice simulations of $ ext{SU}(3)$ $ ext{N}=1$ supersymmetric Yang-Mills theory, showing that bound states form mass-degenerate supermultiplets as the gluino mass approaches zero.

Contribution

First lattice study of $ ext{SU}(3)$ $ ext{N}=1$ SYM using Wilson fermions, demonstrating supermultiplet formation in the mass spectrum.

Findings

Bound states form supermultiplets at zero gluino mass

Mass degeneracy observed among superpartners

Results support supersymmetry restoration in the continuum limit

Abstract

In this article we summarise our results from numerical simulations of $\mathcal{N}=1$ supersymmetric Yang-Mills theory with gauge group SU(3). We use the formulation of Curci and Veneziano with clover-improved Wilson fermions. The masses of various bound states have been obtained at different values of the gluino mass and gauge coupling. Extrapolations to the limit of vanishing gluino mass indicate that the bound states form mass-degenerate supermultiplets.