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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 10 Oct 2024Embargo end date: 01 Jan 2024 Spain English Publisher:American Physical Society (APS)Journal:Physical Review D, volume 110 (issn: 2470-0010, eissn: 2470-0029,

Copyright policy )Funded by:EC | EuroPLEx, EC | STRONG-2020

Authors: Claudio Bonanno; Pietro Butti; Margarita García Pérez; Antonio González-Arroyo; Ken-Ichi Ishikawa; Masanori Okawa;

doi: 10.1103/physrevd.110.074507 , 10.48550/arxiv.2406.08995

arXiv: 2406.08995

handle: 10261/375522 , 10486/718684

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

- Summary
- Subjects
- Metrics

Abstract

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. Published by the American Physical Society 2024

Country

Spain

Related Organizations

View all View all

Keywords

High Energy Physics - Theory, High Energy Physics - Lattice (hep-lat), N=1 supersymmetric, Física, FOS: Physical sciences, 530, numerical simulations, High Energy Physics - Lattice, High Energy Physics - Theory (hep-th), lattice-discretized theory, Nonperturbative, large N calculation, SU(N) Yang-Mills, gluino condensate

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	0
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average