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...

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Detalles Bibliográficos
Autores: Bonanno, Claudio, Butti, Pietro, García Pérez, Margarita, González-Arroyo España, Antonio, Ishikawa, Ken Ichi, Okawa, Masanori
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universidad Autónoma de Madrid
Repositorio:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglés
OAI Identifier:oai:repositorio.uam.es:10486/718684
Acceso en línea:http://hdl.handle.net/10486/718684
https://dx.doi.org/10.1103/PhysRevD.110.074507
Access Level:acceso abierto
Palabra clave:Nonperturbative
large N calculation
N=1 supersymmetric
SU(N) Yang-Mills
gluino condensate
numerical simulations
lattice-discretized theory
Física
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