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

TL;DR

This study uses hybrid Monte Carlo simulations with optimal domain-wall fermions to analyze two-flavor QCD, measuring pseudoscalar meson properties and confirming chiral perturbation theory predictions.

Contribution

First application of ODWF in two-flavor QCD simulations to determine low-energy constants and meson properties with good agreement to NLO ChPT.

Findings

Data agrees with NLO ChPT sea-quark mass dependence.

Determined low-energy constants l_3 and l_4.

Estimated pion decay constant, chiral condensate, and quark masses.

Abstract

We perform hybrid Monte Carlo (HMC) simulatons of two flavors QCD with the optimal domain-wall fermion (ODWF) on the 16^3 x 32 lattice (with lattice spacing a ~ 0.1 fm), for eight sea-quark masses corresponding to pion masses in the range 228-565 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.