Super Yang-Mills on the lattice with domain wall fermions

TL;DR

This paper investigates the lattice formulation of N=1 SU(2) Super Yang-Mills theory using domain wall fermions, demonstrating improved chiral properties and the formation of a gluino condensate in numerical simulations.

Contribution

It introduces a new lattice fermion regulator for Super Yang-Mills theory that avoids fine-tuning and captures topological phenomena.

Findings

Gluino condensate forms on the lattice and persists at the chiral limit.

The formulation exhibits improved chiral symmetry properties.

Zero mode effects influence the condensate even in small volumes.

Abstract

The dynamical N=1, SU(2) Super Yang-Mills theory is studied on the lattice using a new lattice fermion regulator, domain wall fermions. This formulation even at non-zero lattice spacing does not require fine-tuning, has improved chiral properties and can produce topological zero-mode phenomena. Numerical simulations of the full theory on lattices with the topology of a torus indicate the formation of a gluino condensate which is sustained at the chiral limit. The condensate is non-zero even for small volume and small supersymmetry breaking mass where zero mode effects due to gauge fields with fractional topological charge appear to play a role.