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arXiv:1012.4052·v3·High Energy Physics — Lattice

Determination of the chiral condensate from QCD Dirac spectrum on the lattice

H. Fukaya🇯🇵 · S. Aoki🇯🇵 · T.W. Chiu🇨🇳 · S. Hashimoto🇯🇵 · T. Kaneko🇯🇵 · J. Noaki🇯🇵 · T. Onogi🇯🇵 · N. Yamada (JLQCD and TWQCD collaborations)🇯🇵

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Abstract

We calculate the chiral condensate of QCD with 2, 2+1 and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up and down quark masses covering a range between 3 and 100 MeV. On L ~ 1.8-1.9 fm lattices at a lattice spacing ~ 0.11 fm, we calculate the eigenvalue spectrum of the overlap-Dirac operator. By matching the lattice data with the analytical prediction from chiral perturbation theory at the next-to-leading order, the chiral condensate in the massless limit of up and down quarks is determined.

Comments: 38 pages, 11 figures, minor corrections, version appearing in PRD

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