On the renormalized scalar density in quenched QCD

Details On the renormalized scalar density in quenched QCD On the renormalized scalar density in quenched QCD

2005-07-20

arxiv.org/abs/hep-lat/0507026v1

JHEP 0509 (2005) 059

Physics

High Energy Physics

High Energy Physics - Lattice

15 pages, 7 figures

Scientific paper

10.1088/1126-6708/2005/09/059

We present a non-perturbative determination of the renormalization factor Z_S of the scalar density in quenched QCD with overlap fermions. Results are obtained at four values of the lattice spacing. By combining Z_S 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 Sigma_msbar(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.

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