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arXiv · 2412.14067

The gluino condensate of large-$N$ SUSY Yang-Mills

Claudio Bonanno·Pietro Butti·Margarita García Pérez·Antonio González-Arroyo·Ken-Ichi Ishikawa·Masanori Okawa
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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.

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Claudio Bonanno, Pietro Butti, Margarita García Pérez, Antonio González-Arroyo, Ken-Ichi Ishikawa, Masanori Okawa. 2024-12-18. The gluino condensate of large-$N$ SUSY Yang-Mills. https://arxiv.org/abs/2412.14067

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