Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2007-07-02
Physics
High Energy Physics
High Energy Physics - Lattice
19 pages, 13 figures, added Sigma in MSbar
Scientific paper
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 one-loop chiral perturbation theory we obtained for the chiral condensate in the MSbar scheme Sigma(2GeV)^{1/3}=0.239(11) GeV, where the error is statistical only.
Hasenfratz Peter
Hierl Dieter
Maillart Vidushi
Niedermayer Ferenc
Sch{ä}fer Andreas
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