Dynamical simulation of N=1 supersymmetric Yang-Mills theory with domain wall fermions

TL;DR

This paper reports on numerical lattice simulations of N=1 supersymmetric Yang-Mills theory using domain wall fermions, demonstrating emergent supersymmetry and analyzing spectral properties to estimate the gluino condensate.

Contribution

It provides the first detailed numerical study of N=1 SYM with domain wall fermions, including spectral analysis and gluino condensate estimation without fine-tuning.

Findings

Supersymmetry emerges in the continuum and chiral limits.

Spectral features are consistent with strong coupling and large residual mass.

Estimated gluino condensate using Banks-Casher relation.

Abstract

We present results from a numerical study of N=1 supersymmetric Yang-Mills theory using domain wall fermions. In this particular lattice formulation of the theory, supersymmetry is expected to emerge accidentally in the continuum and chiral limits without any fine-tuning of operators. Dynamical simulations were performed for the gauge group SU(2) on 8^3x8 and 16^3x32 lattice space-time volumes and at three different values of the coupling: beta = 2.3, 2.353 and 2.4. Results from this study include measurements of the static potential, residual mass, and a chirally extrapolated value for the gluino condensate at beta=2.3. In addition to these, we study the low lying eigenvalues and eigenvectors of the five dimensional Hermitian domain-wall fermion Dirac operator and present evidence that, for the choice of parameters under investigation, features of the spectrum appear qualitatively consistent with strong coupling and the presence of a large residual mass. From the five dimensional eigenvalues we explore the possibility of using the Banks-Casher relation to determine an independent value for the gluino condensate in the chiral limit.