Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-05-23
Phys. Lett. B 702 (2011) 131
Physics
High Energy Physics
High Energy Physics - Lattice
10 pages, 3 EPS figures, v2: typos corrected, to appear in Phys. Lett. B
Scientific paper
10.1016/j.physletb.2011.06.070
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, $\Sigma^{\bar{MS}}(2 GeV)=[259(6)(7) MeV]^3 $, and the pion decay constant $F_\pi = 92(12)(2)$ MeV.
Chiu Ting-Wai
Hsieh Tung-Han
Mao Yao-Yuan
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