Towards the spectrum of low-lying particles in supersymmetric Yang-Mills theory

TL;DR

This paper reports on lattice simulations of N=1 supersymmetric Yang-Mills theory, showing improved accuracy in mass measurements of various particles and evidence for supermultiplet formation as gluino mass approaches zero.

Contribution

It provides the first detailed lattice results at finer lattice spacings, demonstrating better control of uncertainties and supporting supersymmetry predictions.

Findings

Masses of particles are consistent with supermultiplet formation.

Improved statistical and systematic control over previous studies.

Evidence supports supersymmetry in the low-energy spectrum.

Abstract

We present the current results of our simulations of N=1 supersymmetric Yang-Mills theory on a lattice. The masses of the gluino-glue particle, the a-eta-prime, the a-f0 meson, and the scalar glueball are obtained at finer lattice spacing than before, and extrapolations towards vanishing gluino mass are made. The calculations employ different levels of stout smearing. The statistical accuracy as well as the control of finite size effects and lattice artefacts are better than in previous investigations. Taking the statistical and systematic uncertainties into account, the extrapolations towards vanishing gluino mass of the masses of the fermionic and bosonic states in our present calculations are consistent with the formation of degenerate supermultiplets.