Nonperturbative improvement of the Wilson quark action with the RG-improved gauge action using the Schrödinger functional method
CP-PACS · JLQCD Collaborations: S. Aoki · M. Fukugita · S. Hashimoto · K-I. Ishikawa · N. Ishizuka · Y. Iwasaki · K. Kanaya · T. Kaneko · Y. Kuramashi · M. Okawa · S. Takeda and 5 other authors
We perform a nonperturbative determination of the -improvement coefficient and the critical hopping parameter for =3, 2, 0 flavor QCD with the RG-improved gauge action using the Schrödinger functional method. In order to interpolate and as a function of the bare coupling, a wide range of from the weak coupling region to the moderately strong coupling points used in large-scale simulations is studied. Corrections at finite lattice size of turned out to be large for the RG-improved gauge action, and hence we make the determination at a size fixed in physical units using a modified improvement condition. This enables us to avoid scaling violations which would remain in physical observables if determined for a fixed lattice size is used in numerical simulations.