The gluino-glue particle and finite size effects in supersymmetric Yang-Mills theory

TL;DR

This paper investigates the mass of the gluino-glue particle in supersymmetric Yang-Mills theory using lattice simulations, focusing on finite size effects and extrapolations to understand supersymmetry restoration.

Contribution

It provides a numerical analysis of finite size effects on the gluino-glue particle mass in lattice supersymmetric Yang-Mills theory, including extrapolations to infinite volume and zero gluino mass.

Findings

Finite size effects are manageable on moderate lattices.

Remaining deviations are likely due to finite lattice spacing.

Extrapolations suggest consistent mass estimates for the gluino-glue particle.

Abstract

The spectrum of particles in supersymmetric Yang-Mills theory is expected to contain a spin 1/2 bound state of gluons and gluinos, the gluino-glue particle. We study the mass of this particle in softly broken supersymmetric Yang-Mills theory on a lattice by means of numerical simulations. The main focus is the estimation of finite size effects. We extrapolate the mass first to the infinite volume and then to the limit of a vanishing gluino mass. The results indicate that finite size effects are tolerable on lattices of moderate size, and that remaining deviations from supersymmetry are probably due to finite lattice spacing effects.