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

JLQCD Collaboration; S. Aoki; M. Fukugita; S. Hashimoto; N. Ishizuka; Y. Iwasaki; K. Kanaya; Y. Kuramashi; M. Okawa; A. Ukawa; T. YoshiÃ©

doi:10.1016/S0920-5632(97)00744-5

paper

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

arXiv:hep-lat/9711016 · doi:10.1016/S0920-5632(97)00744-5

Abstract

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 $I^^{2} = 5.9 - 6.5$ . This method leads to a remarkable improvement of scaling behavior of the light quark masses compared to the conventional method. We obtain $m ˉ_{l} = 3.87 (37)$ MeV for the averaged up and down quark mass and $m ˉ_{s} = 97 (9)$ MeV for the strange quark mass in the ${\barMS}$ scheme at $I^¼ = 2$ GeV.

3 pages, latex source-file, 2 figures as epsf-file, uses espcrc2.sty. Poster presented at Lattice 97: 15th International Symposium on Lattice Field Theory, Edinburgh, Scotland, 22-26 Jul 1997