The gluino condensate of large-$N$ SUSY Yang–Mills
We present the first lattice determination of the SUSY $\mathrm{SU}(N)$ Yang–Mills gluino condensate at large $N$. We exploit large-$N$ twisted volume reduction, and present two determinations based on the Banks–Casher relation and on a Gell-Mann–Oakes–Renner-like formula, both giving perfectly compatible results. By expressing the lattice results in the Novikov–Shifman–Vainshtein–Zakharov scheme, we are able for the first time to compare lattice and analytical computations, resolving a 40-year-long debate about the actual value and $N$-dependence of the gluino condensate.
Authors
- Pietro Butti (ORCID: https://orcid.org/0000-0003-1141-9205)
- Antonio González-Arroyo (ORCID: https://orcid.org/0000-0002-5263-1088)
- Ken-Ichi Ishikawa (ORCID: https://orcid.org/0000-0001-6425-1894)
- Margarita Garcı́a Pérez (ORCID: https://orcid.org/0000-0001-6566-2687)
- Claudio Bonanno (ORCID: https://orcid.org/0000-0002-1421-6510)
- M. Okawa
Institutions
- Hiroshima University (JP)
- Universidad de Zaragoza (ES)
- Universidad Autónoma de Madrid (ES)
Publication Details
- Published
- 2025-01-10
- DOI
- https://doi.org/10.22323/1.466.0392
- Citations
- 1
- Primary Topic
- Particle physics theoretical and experimental studies
- Type
- article
- Field-Weighted Citation Impact
- 1.87
Funders
- Strong
- European Commission
- Ministry of Education, Culture, Sports, Science and Technology
- Horizon 2020 Framework Programme
- Japan Society for the Promotion of Science
- European Regional Development Fund
- Agencia Estatal de Investigación