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

Ting-Wai Chiu, Tung-Han Hsieh, Yao-Yuan Mao
Physics Department, National Taiwan University, Taipei 10617, Taiwan
arXiv:1109.3675v1 [hep-lat] (16 Sep 2011)


   author={Chiu}, T.-W. and {Hsieh}, T.-H. and {Mao}, Y.-Y.},

   title={"{Pseudoscalar Meson in Two Flavors QCD with the Optimal Domain-Wall Fermion}"},

   journal={ArXiv e-prints},




   keywords={High Energy Physics – Lattice, High Energy Physics – Phenomenology},




   adsnote={Provided by the SAO/NASA Astrophysics Data System}


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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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