The large-N SUSY gluino condensate is computed on the lattice for the first time and agrees, within errors, with the weak-coupling instanton value.
QCD Quark Condensate from SUSY and the Orientifold Large-N Expansion
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abstract
We estimate the quark condensate in one-flavor massless QCD from the known value of the gluino condensate in SUSY Yang-Mills theory using our newly proposed "orientifold" large-N expansion. The numerical result for the quark condensate renormalized at the scale 2 GeV is then given as a function of alpha_s(2 GeV) and of possible corrections from sub-leading terms. Our value can be compared with the quark condensate in (quenched) lattice QCD or with the one extracted from the Gell-Mann--Oakes--Renner relation by virtue of non-lattice determinations of the quark masses. In both cases we find quite a remarkable agreement.
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The gluino condensate of large-$N$ SUSY Yang-Mills
The large-N SUSY gluino condensate is computed on the lattice for the first time and agrees, within errors, with the weak-coupling instanton value.