The gluino condensate of large-$N$ SUSY Yang-Mills

TL;DR

This paper provides the first lattice-based measurement of the gluino condensate in large-$N$ SUSY Yang-Mills theory, resolving a long-standing debate by comparing numerical and analytical results.

Contribution

It introduces a novel lattice approach using large-$N$ twisted volume reduction to determine the gluino condensate and compares it with analytical predictions.

Findings

Lattice results agree with analytical computations

First direct lattice determination at large $N$

Resolves a 40-year-old debate on gluino condensate value

Abstract

We present the first lattice determination of the SUSY $\mathrm{SU}(N)$ Yang-Mills gluino condensate at large $N$. We exploit large-$N$ twisted volume reduction, and present two determinations based on the Banks-Casher relation and on a Gell-Mann-Oakes-Renner-like formula, both giving perfectly compatible results. By expressing the lattice results in the Novikov-Shifman-Vainshtein-Zakharov scheme, we are able for the first time to compare lattice and analytical computations, resolving a 40-year-long debate about the actual value and $N$-dependence of the gluino condensate.