Article

# On the renormalized scalar density in quenched QCD

07/2005; DOI:doi:10.1088/1126-6708/2005/09/059
Source: arXiv

ABSTRACT 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. Comment: 15 pages, 7 figures

0 0
·
0 Bookmarks
·
23 Views

Available from

### Keywords

7 figures

continuum limit

low-energy constant Sigma

overlap fermions

overlap quarks exhibit excellent scaling behaviour

renormalization factor Z_S

renormalization group invariant scalar condensate

result translates

small residual lattice artifacts

total accuracy

vector mass