Determination of the Chiral Condensate from (2 þ 1)-Flavor Lattice QCD

概要

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We perform a precise calculation of the chiral condensate in QCD using lattice QCD with 2+1 flavors of dynamical overlap quarks. Up and down quark masses cover a range between 3 and 100 MeV on a 163×48 lattice at a lattice spacing ∼0.11 fm. At the lightest sea quark mass, the finite volume system on the lattice is in the ϵ regime. By matching the low-lying eigenvalue spectrum of the Dirac operator with the prediction of chiral perturbation theory at the next-to-leading order, we determine the chiral condensate in (2+1)-flavor QCD with strange quark mass fixed at its physical value as ΣMS̅ (2 GeV)=[242(04)(+19/-18) MeV]3 where the errors are statistical and systematic, respectively.