1. Non-perturbative determination of the ${\cal N} = 1$ SUSY Yang-Mills gluino condensate at large $N$
- Author
-
Bonanno, Claudio, Butti, Pietro, Pérez, Margarita García, González-Arroyo, Antonio, Ishikawa, Ken-Ichi, and Okawa, Masanori
- Subjects
High Energy Physics - Theory ,High Energy Physics - Lattice - Abstract
We present the first non-perturbative large-$N$ calculation of the $\mathcal{N}=1$ supersymmetric (SUSY) $\mathrm{SU}(N)$ Yang-Mills gluino condensate, obtained by means of numerical simulations of the lattice-discretized theory, and exploiting large-$N$ twisted volume reduction. We present two different determinations based, respectively, on the Banks-Casher formula and on the Gell-Mann-Oakes-Renner relation, both giving perfectly consistent results. By matching the lattice and the Novikov-Shifman-Vainshtein-Zakharov (NSVZ) regularization schemes, we are able for the first time to compare numerical and analytic computations. Our most accurate determination gives $\Sigma_{\rm RGI} /\Lambda_{\rm NSVZ}^3 = 1.55(57)$, in very good agreement with the $N$-dependence and the value predicted by the weak coupling instanton-based approach $\Sigma_{\rm RGI} /\Lambda_{\rm NSVZ}^3 = 1$., Comment: Main text: 5 pages, 3 figures. Supplemental Material: 4 pages, 3 figures
- Published
- 2024