Lattice study of 4d {\cal N}=1 super Yang-Mills theory with dynamical overlap gluino

TL;DR

This paper presents lattice simulation results for 4d { m N}=1 SU(2) super Yang-Mills theory with dynamical overlap gluinos, analyzing the spectrum and condensate to understand chiral properties and eigenvalue distributions.

Contribution

It provides the first detailed lattice study of the spectrum and gluino condensate in 4d { m N}=1 SU(2) super Yang-Mills with dynamical overlap gluinos, including chiral limit analysis.

Findings

Eigenvalue distributions match random matrix theory predictions.

Gluino condensate remains nearly constant across gluino masses.

Chiral limit condensate value is estimated as 0.63(12) in scaled units.

Abstract

We report on a lattice simulation result for four-dimensional {\cal N}=1 SU(2) super Yang-Mills theory with the dynamical overlap gluino. We study the spectrum of the overlap Dirac operator at three different gluino masses m=0.2, 0.1 and 0.05 with the Iwasaki action on a 8^3 \times 16 lattice. We find that the lowest eigenvalue distributions are in good agreement with the prediction from the random matrix theory. Moreover the mass dependence of the condensate is almost constant, which gives a clean chiral limit. Our results for the gluino condensate in the chiral limit is < \bar{\psi} \psi > r_0^3 = 0.63(12), where r_0 is the Sommer scale.