Nonperturbative determination of the N=1 supersymmetric Yang-Mills gluino condensate at large N

We present the first nonperturbative large N calculation of the N=1 supersymmetric SU(N) Yang-Mills gluino condensate obtained by means of numerical simulations of the lattice-discretized theory, exploiting large-N twisted volume reduction. We present two different determinations based, respectively...

Descripción completa

Detalles Bibliográficos
Autores: Bonanno, Claudio, Butti, Pietro, García Pérez, Margarita, González-Arroyo, Antonio, Ishikawa, Ken-Ichi, Okawa, Masanori
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2024
País:España
Institución:Universidad de Zaragoza
Repositorio:Zaguán. Repositorio Digital de la Universidad de Zaragoza
OAI Identifier:oai:zaguan.unizar.es:145526
Acceso en línea:http://zaguan.unizar.es/record/145526
Access Level:acceso abierto
Descripción
Sumario:We present the first nonperturbative large N calculation of the N=1 supersymmetric SU(N) Yang-Mills gluino condensate obtained by means of numerical simulations of the lattice-discretized theory, 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 expressing the lattice results in the Novikov-Shifman-Vainshtein-Zakharov (NSVZ) scheme, we are able for the first time to compare numerical and analytic computations. Our most accurate determination of the renormalization group invariant (RGI) gluino condensate gives ΣRGI/ΛNSVZ3=[1.18(08)stat(12)syst]3=1.64(33)stat(50)syst=1.64(60), in agreement with the N dependence and the value predicted by the weak coupling instanton-based approach ΣRGI/ΛNSVZ3=1.