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The gluino condensate of large-N SUSY Yang-Mills

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arxiv 2412.14067 v1 pith:WDJL2JMI submitted 2024-12-18 hep-lat hep-th

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

classification hep-lat hep-th
keywords condensategluinolatticefirstlarge-resultssusyyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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