On the renormalized scalar density in quenched QCD

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We present a non-perturbative determination of the renormalization factor Zₛ of the scalar density in quenched QCD with overlap fermions. Results are obtained at four values of the lattice spacing. By combining Zₛ with results for the low-energy constant Sigma we are able to compute the renormalization group invariant scalar condensate in the continuum limit with a total accuracy of 7%, excluding dynamical quark effects. Our result translates to Sigmaₘsbar(2 GeV)=(285+/-9 MeV)³ if the scale is set by the kaon decay constant. We have also performed scaling studies of the pseudoscalar decay constant and the vector mass. Our results indicate that quantities computed using overlap quarks exhibit excellent scaling behaviour, with small residual lattice artifacts.