Non-perturbative determination of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action

JLQCD Collaboration; S. Aoki; M. Fukugita; S. Hashimoto; K-I. Ishikawa; N. Ishizuka; Y. Iwasaki; K. Kanaya; T. Kaneda; S. Kaya; Y. Kuramashi; M. Okawa; T. Onogi; S. Tominaga; N. Tsutsui; A. Ukawa; N. Yamada; T. YoshiÃ©

doi:10.1103/PhysRevLett.82.4392

paper

Non-perturbative determination of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action

arXiv:hep-lat/9901019 · doi:10.1103/PhysRevLett.82.4392

Abstract

We report results of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action, employing the Reguralization Independent scheme (RI) of Martinelli et al. to non-perturbatively evaluate the renormalization factor relating the bare quark mass on the lattice to that in the continuum. Calculations are carried out at Î²=6.0, 6.2, and 6.4, from which we find $m_{u d}^{M S ˉ} (2 G e V) = 4.23 (29) M e V$ for the average up and down quark mass and, with the $I ¨ $ meson mass as input, $m_{s}^{M S ˉ} (2 G e V) = 129 (12) M e V$ for the strange mass in the continuum limit. These values are about 20% larger than those obtained with the one-loop perturbative renormalization factor.

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