Topological susceptibility in 2 + 1 flavors lattice QCD with domain-wall fermions
Journal
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Journal Volume
671
Journal Issue
1
Pages
135-138
Date Issued
2009
Author(s)
Abstract
We measure the topological charge and its fluctuation for the gauge configurations generated by the RBC and UKQCD Collaborations using 2 + 1 flavors of domain-wall fermions on the 163 × 32 lattice (L ≃ 2 fm) with length 16 in the fifth dimension at the inverse lattice spacing a-1 ≃ 1.62 GeV. From the spectral flow of the Hermitian operator Hw (2 + γ5 Hw)-1, we obtain the topological charge Qt of each gauge configuration in the three ensembles with light sea quark masses mq a = 0.01, 0.02, and 0.03, and with the strange quark mass fixed at ms a = 0.04. From our result of Qt, we compute the topological susceptibility χt = 〈 Qt2 〉 / Ω, where Ω is the volume of the lattice. In the small mq regime, our result of χt agrees with the chiral effective theory. Using the formula χt = Σ / (mu-1 + md-1 + ms-1) by Leutwyler-Smilga, we obtain the chiral condensate Σover(MS, -) (2 GeV) = [259 (6) (9) MeV]3. © 2008 Elsevier B.V. All rights reserved.
SDGs
Type
journal article