A fully non-perturbative lattice determination of the up/down and strange quark masses is given for quenched QCD using both, O(a) improved Wilson fermions and ordinary Wilson fermions. For the strange quark mass with O(a) improved fermions we obtain ms\msbar(μ=2GeV)=105(4)MeV, using the interquark force scale r0. Due to quenching problems fits are only possible for quark masses larger than the strange quark mass. If we extrapolate our fits to the up/down quark mass we find for the average mass ml\msbar(μ=2GeV)=4.4(2)MeV.
@article{arxiv.hep-lat/9908005,
title = {A Lattice Determination of Light Quark Masses},
author = {M. Gockeler and R. Horsley and H. Oelrich and D. Petters and D. Pleiter and P. E. L. Rakow and G. Schierholz and P. Stephenson},
journal= {arXiv preprint arXiv:hep-lat/9908005},
year = {2008}
}