The gluino condensate of large-$N$ SUSY Yang-Mills
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912160802668544 |
|---|---|
| author | Bonanno, Claudio Butti, Pietro Pérez, Margarita García González-Arroyo, Antonio Ishikawa, Ken-Ichi Okawa, Masanori |
| author_facet | Bonanno, Claudio Butti, Pietro Pérez, Margarita García González-Arroyo, Antonio Ishikawa, Ken-Ichi Okawa, Masanori |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14067 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The gluino condensate of large-$N$ SUSY Yang-Mills Bonanno, Claudio Butti, Pietro Pérez, Margarita García González-Arroyo, Antonio Ishikawa, Ken-Ichi Okawa, Masanori High Energy Physics - Lattice High Energy Physics - Theory 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. |
| title | The gluino condensate of large-$N$ SUSY Yang-Mills |
| topic | High Energy Physics - Lattice High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.14067 |