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. Yoshié

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

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

High Energy Physics - Lattice 2009-10-30 v1

Authors: JLQCD Collaboration , S. Aoki , M. Fukugita , S. Hashimoto , N. Ishizuka , Y. Iwasaki , K. Kanaya , Y. Kuramashi , M. Okawa , A. Ukawa , T. Yoshié

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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 $\beta=5.9-6.5$ . 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 ${\barMS}$ scheme at $\mu=2$ GeV.

Keywords

lattice QCD light quark masses Wilson fermions PCAC relation chiral Ward identities quenched approximation

Cite

@article{arxiv.hep-lat/9711016,
  title  = {The Light Quark Masses with the Wilson Quark Action using Chiral Ward Identities},
  author = {JLQCD Collaboration and S. Aoki and M. Fukugita and S. Hashimoto and N. Ishizuka and Y. Iwasaki and K. Kanaya and Y. Kuramashi and M. Okawa and A. Ukawa and T. Yoshié},
  journal= {arXiv preprint arXiv:hep-lat/9711016},
  year   = {2009}
}

Comments

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

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

Abstract

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