Non-perturbative O(a)-improvement of Wilson quark action in three-flavor QCD with plaquette gauge action
Abstract
We perform a non-perturbative determination of the O(a)-improvement coefficient cSW for the Wilson quark action in three-flavor QCD with the plaquette gauge action. Numerical simulations are carried out in a range of β=12.0-5.2 on a single lattice size of 83x16 employing the Schr\"odinger functional setup of lattice QCD. As our main result, we obtain an interpolation formula for cSW and the critical hopping parameter Kc as a function of the bare coupling. This enables us to remove O(a) scaling violation from physical observables in future numerical simulation in the wide range of β. Our analysis with a perturbatively modified improvement condition for cSW suggests that finite volume effects in cSW are not large on the 83x16 lattice. We investigate Nf dependence of cSW by additional simulations for Nf=4, 2 and 0 at β=9.6. As a preparatory step for this study, we also determine cSW in two-flavor QCD at β=5.2. At this β, several groups carried out large-scale calculations of the hadron spectrum, while no systematic determination of cSW has been performed.
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