A Lattice Determination of Light Quark Masses

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 $m_s^{\text{msbar}}(\mu =2GeV)=105(4)MeV$, using the interquark force scale $r_0$. 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 $m_l^{\text{msbar}}(\mu =2GeV)=4.4(2)MeV$.