Simulations of supersymmetric Yang-Mills theory

TL;DR

This paper presents numerical lattice simulations of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills theory, analyzing the low-lying spectrum and the mass of the gluino-glue bound state with implications for supersymmetry realization.

Contribution

First detailed lattice simulation of N=1 SU(2) SYM with light gluinos using improved actions and advanced algorithms, exploring supermultiplet formation.

Findings

Lightest gluino-glue state is heavier than its superpartners.

Simulations performed on lattices up to 24^3x48 at =1.6.

Lattice spacing approximately 0.09 fm.

Abstract

Results of a numerical simulation concerning the low-lying spectrum of four-dimensional N=1 SU(2) Supersymmetric Yang-Mills (SYM) theory on the lattice with light dynamical gluinos are reported. We use the tree-level Symanzik improved gauge action and Wilson fermions with stout smearing of the gauge links in the Wilson-Dirac operator. The configurations are produced with the Two-Step Polynomial Hybrid Monte Carlo (TS-PHMC) algorithm. We performed simulations on lattices up to a size of 24^3x48 at \beta=1.6. Using QCD units with the Sommer scale being set to r_0=0.5 fm, the lattice spacing is about a~0.09 fm, and the spatial extent of the lattice corresponds to 2.1 fm to control finite size effects. At the lightest simulated gluino mass our results indicate a mass for the lightest gluino-glue bound state, which is considerably heavier than the values obtained for its possible superpartners. Whether supermultiplets are formed remains to be studied in upcoming simulations.