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Topological susceptibility in (2+1)-flavor lattice QCD with overlap fermion

We determine the topological susceptibility χ_t in the topologically-trivial sector generated by lattice simulations of N_f = 2+1 QCD with overlap Dirac fermion, on a 16^3 x 48 lattice with lattice spacing ~ 0.11 fm, for five sea quark masses m_q ranging from m_s/6 to m_s (where m_s is the physical strange quark mass). The χ_t is extracted from the plateau (at large time separation) of the 2-point and 4-point time-correlation functions of the flavor-singlet pseudoscalar meson η', which arises from the finite size effect due to fixed topology. In the small m_q regime, our result of χ_t agrees with the chiral effective theory. Using the formula χ_t = Σ(m_u^{-1} + m_d^{-1} + m_s^{-1})^{-1} by Leutwyler-Smilga, we obtain the chiral condensate Σ^{MSbar}(2 GeV) = [249(4)(2) MeV]^3.

preprint2008arXivOpen access

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