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...
| Authors: | , , , , , |
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| Format: | article |
| Status: | Published version |
| Publication Date: | 2024 |
| Country: | España |
| Institution: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repository: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/375522 |
| Online Access: | http://hdl.handle.net/10261/375522 https://api.elsevier.com/content/abstract/scopus_id/85206680006 |
| Access Level: | Open access |
| Summary: | 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. |
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