Quenched chiral logarithms in lattice QCD with overlap Dirac quarks ∗ †
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چکیده
We examine quenched chiral logarithms in lattice QCD with overlap Dirac quarks. From our data of m π , we determine the coefficient of quenched chiral logarithm δ = 0.203(14), 0.176(17), 0.193(17) and 0.200(13) for lattices of sizes 8 × 24, 10 × 24, 12 × 24 and 16 × 32 respectively. Also, for the first three lattice sizes, we measure the index susceptibility of the overlap Dirac operator, and use the exact relation between the index susceptibility and the η mass in quenched chiral perturbation theory to obtain an independent determination of δ = 0.198(27), 0.173(24), 0.169(22), which are in good agreement with those determined from m π .
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تاریخ انتشار 2002