Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
arXiv:1105.4414 · doi:10.1016/j.physletb.2011.06.070
Abstract
We determine the topological susceptibility of the gauge configurations generated by lattice simulations using two flavors of optimal domain-wall fermion on the $ 16^3 \times 32 $ lattice with length 16 in the fifth dimension, at the lattice spacing $ a \simeq 0.1 $ fm. Using the adaptive thick-restart Lanczos algorithm, we project the low-lying eigenmodes of the overlap Dirac operator, and obtain the topological charge of each configuration, for eight ensembles with pion masses in the range $ 220-550 $ MeV. From the topological charge, we compute the topological susceptibility and the second normalized cumulant. Our result of the topological susceptibility agrees with the sea-quark mass dependence predicted by the chiral perturbation theory and provides a determination of the chiral condensate, $Σ^{\bar{MS}}(2 GeV)=[259(6)(7) MeV]^3 $, and the pion decay constant $F_Ï= 92(12)(2)$ MeV.
10 pages, 3 EPS figures, v2: typos corrected, to appear in Phys. Lett. B