The Light Quark Masses with the Wilson Quark Action using Chiral Ward Identities

We present results for the light quark masses for the Wilson quark action obtained with the PCAC relation for the one-link extended axial vector current in quenched QCD at $\beta =5.9-6.5$. This method leads to a remarkable improvement of scaling behavior of the light quark masses compared to the conventional method. We obtain ${\bar{m}}_l=3.87(37)$MeV for the averaged up and down quark mass and ${\bar{m}}_s=97(9)$MeV for the strange quark mass in the $\text{barMS}$ scheme at $\mu =2$GeV.