Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion

Details Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion

2011-09-16

arxiv.org/abs/1109.3675v1

Physics

High Energy Physics

High Energy Physics - Lattice

5 pages, 4 figures

Scientific paper

We perform hybrid Monte Carlo (HMC) simulatons of two flavors QCD with the optimal domain-wall fermion (ODWF) on the $ 16^3 \times 32 $ lattice (with lattice spacing $ a \sim 0.1 $ fm), for eight sea-quark masses corresponding to pion masses in the range 230-580 MeV. We calculate the mass and the decay constant of the pseudoscalar meson, and compare our data with the chiral perturbation theory (ChPT). We find that our data is in good agreement with the sea-quark mass dependence predicted by the next-to-leading order (NLO) ChPT, and provides a determination of the low-energy constants $ \bar{l}_3 $ and $ \bar{l}_4 $, the pion decay constant, the chiral condensate, and the average up and down quark mass.

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