Abstract
We generated configurations with the parametrized fixed-point Dirac operator D-FP on a (1.6 fm)(4) box at a lattice spacing a = 0.13 fm. We compare the distributions of the three lowest k = 1, 2, 3 eigenvalues in the nu = 0, 1, 2 topological sectors with that of the Random Matrix Theory predictions. The ratios of expectation values of the lowest eigenvalues and the cumulative eigenvalue ...
Abstract
We generated configurations with the parametrized fixed-point Dirac operator D-FP on a (1.6 fm)(4) box at a lattice spacing a = 0.13 fm. We compare the distributions of the three lowest k = 1, 2, 3 eigenvalues in the nu = 0, 1, 2 topological sectors with that of the Random Matrix Theory predictions. The ratios of expectation values of the lowest eigenvalues and the cumulative eigenvalue distributions are studied for all combinations of k and nu. After including the finite size correction from NL order chiral perturbation theory we obtained for the chiral condensate in the (MS) over bar scheme [Sigma(2GeV)](1/3) = 0.239(12) GeV, where the error is statistical only.
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