N=1 supersymmetric Yang-Mills theory on the lattice

TL;DR

This paper reviews recent progress in lattice simulations of N=1 supersymmetric Yang-Mills theory, focusing on the mass spectrum and the formation of supersymmetric multiplets of lightest particles.

Contribution

It provides updated results on the mass spectrum and systematic error analysis for the formation of supersymmetric multiplets in lattice N=1 SYM.

Findings

More precise estimates of supersymmetric multiplet formation

Identification of lightest particles as flavor singlet mesons and glueballs

Enhanced understanding of systematic errors in lattice simulations

Abstract

Numerical simulations of supersymmetric theories on the lattice are intricate and challenging with respect to their theoretical foundations and algorithmic realisation. Nevertheless, the simulations of a four-dimensional supersymmetric gauge theory have made considerable improvements over the recent years. In this contribution we summarise the results of our collaboration concerning the mass spectrum of this theory. The investigation of systematic errors allows now a more precise estimate concerning the expected formation of supersymmetric multiplets of the lightest particles. These multiplets contain flavour singlet mesons, glueballs, and an additional fermionic state.