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 αS (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.
|Number of pages
|Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
|Published - Jan 22 2004
Bibliographical noteFunding Information:
A.A. thanks the Albert-Einstein-Institut for warm hospitality. The work of M.S. was supported in part by DOE grant DE-FG02-94ER408.