Lattice super-Yang-Mills using domain wall fermions in the chiral limit

TL;DR

This paper reports large-scale lattice simulations of N=1 super-Yang-Mills theory using domain wall fermions, measuring key physical quantities and extrapolating to the chiral limit to establish benchmarks for future research.

Contribution

It demonstrates the use of domain wall fermions for non-perturbative lattice studies of super-Yang-Mills, providing new data and benchmarks for the chiral limit.

Findings

Gaugino condensate extrapolated to the chiral limit.

Measured static potential and Creutz ratios.

Established benchmarks for future lattice super-Yang-Mills studies.

Abstract

Lattice N=1 super-Yang-Mills theory formulated using Ginsparg-Wilson fermions provides a rigorous non-perturbative definition of the continuum theory that requires no fine-tuning as the lattice spacing is reduced to zero. Domain wall fermions are one explicit scheme for achieving this and using them we have performed large-scale Monte Carlo simulations of the theory for gauge group SU(2). We have measured the gaugino condensate, static potential, Creutz ratios and residual mass for several values of the domain wall separation L_s, four-dimensional lattice volume, and two values of the gauge coupling. With this data we are able to extrapolate the gaugino condensate to the chiral limit, to express it in physical units, and to establish important benchmarks for future studies of super-Yang-Mills on the lattice.