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

Bonanno, Claudio ; Butti, Pietro (Universidad de Zaragoza) ; García Pérez, Margarita ; González-Arroyo, Antonio ; Ishikawa, Ken-Ichi ; Okawa, Masanori

Resumen: 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.

Idioma: Inglés

DOI: 10.1103/PhysRevD.110.074507

Año: 2024

Publicado en: Physical Review D 110 (2024), 074507 [13 pp.]
ISSN: 2470-0010

Tipo y forma: Article (Published version)

Área (Departamento): Área Física Teórica (Dpto. Física Teórica)