Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion

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-...

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Bibliographic Details
Published in:arXiv.org 2011-06
Main Authors: Ting-Wai Chiu, Tung-Han, Hsieh, Yao-Yuan, Mao, the TWQCD Collaboration
Format: Article
Language:English
Subjects:
Adaptive algorithms
Chiral dynamics
Computer simulation
Configurations
Dependence
Fermions
Flavor (particle physics)
Perturbation theory
Quantum chromodynamics
Topology
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1105.4414