The mass of the gluino-glue bound state in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang-Mills theory

TL;DR

This paper non-perturbatively calculates the mass of the lightest gluino-glue bound state in large-N supersymmetric Yang-Mills theory using lattice simulations and volume reduction, confirming consistency with smaller N results.

Contribution

It provides the first large-N non-perturbative determination of the gluino-glue mass using lattice Monte Carlo methods and twisted volume reduction.

Findings

Mass results consistent with SU(2) and SU(3) extrapolations.

First-principles non-perturbative approach applied to large-N.

Supports the validity of volume reduction techniques.

Abstract

We provide a first-principles non-perturbative determination of the mass of the lightest gluino-gluon bound state (gluino-glue) in large-$N$ $\mathcal{N}=1$ Supersymmetric Yang--Mills theory by means of numerical Monte Carlo simulations of the lattice-discretized theory, and exploiting large-$N$ twisted volume reduction. Our large-$N$ determination is consistent with naive extrapolation of previously-known $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$ results.