Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2002-04-08
Phys.Rev.D66:014506,2002
Physics
High Energy Physics
High Energy Physics - Lattice
24 pages, 6 EPS figures; v2: some clarifications added, to appear in Physical Review D
Scientific paper
10.1103/PhysRevD.66.014506
We examine quenched chiral logarithms in lattice QCD with overlap Dirac quark. For 100 gauge configurations generated with the Wilson gauge action at $ \beta = 5.8 $ on the $ 8^3 \times 24 $ lattice, we compute quenched quark propagators for 12 bare quark masses. The pion decay constant is extracted from the pion propagator, and from which the lattice spacing is determined to be 0.147 fm. The presence of quenched chiral logarithm in the pion mass is confirmed, and its coefficient is determined to be $ \delta = 0.203 \pm 0.014 $, in agreement with the theoretical estimate in quenched chiral perturbation theory. Further, we obtain the topological susceptibility of these 100 gauge configurations by measuring the index of the overlap Dirac operator. Using a formula due to exact chiral symmetry, we obtain the $ \eta' $ mass in quenched chiral perturbation theory, $ m_{\eta'} = (901 \pm 64) $ Mev, and an estimate of $ \delta = 0.197 \pm 0.027 $, which is in good agreement with that determined from the pion mass.
Chiu Ting-Wai
Hsieh Tung-Han
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