Quenched chiral logarithms in lattice QCD with overlap Dirac quarks
Abstract
We examine quenched chiral logarithms in lattice QCD with overlap Dirac quarks. From our data of mpi2, we determine the coefficient of quenched chiral logarithm delta = 0.203(14), 0.176(17), 0.193(17) and 0.200(13) for lattices of sizes 83 times 24, 103 times 24, 123 times 24 and 163 times 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 eta' mass in quenched chiral perturbation theory to obtain an independent determination of delta = 0.198(27), 0.173(24), 0.169(22), which are in good agreement with those determined from mpi2.
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