PoS - Proceedings of Science
Volume 466 - The 41st International Symposium on Lattice Field Theory (LATTICE2024) - Vacuum Structure and Confinement
The gluino condensate of large-$N$ SUSY Yang–Mills
C. Bonanno*, P. Butti, M. Garcia Perez, A. Gonzalez-Arroyo, K.I. Ishikawa and M. Okawa
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Pre-published on: January 10, 2025
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Abstract
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.
DOI: https://doi.org/10.22323/1.466.0392
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