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

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.

13 pages, 4 figures, contribution for the Proceedings of the 41st International Symposium on Lattice Field Theory (Lattice 2024), 28 July-3 August 2024, Liverpool, UK