We compare the eigenvalue spectra of the Dirac operator from a simulation with two mass degenerate dynamical chirally improved fermions with Random Matrix Theory. Comparisons with distribution of k-th eigenvalues (k=1,2) in fixed topological sectors (nu=0,1) are carried out using the Kolmogorov-Smirnov test. The eigenvalue distributions are well described by the RMT predictions. The match allows us to read off the quark condensate in the chiral limit directly. Correcting for finite size and renormalization we obtain a mean value of -(276 (11)(16) MeV)**3 in the MS-bar scheme.
@article{arxiv.hep-lat/0611010,
title = {The condensate for two dynamical chirally improved quarks in QCD},
author = {C. B. Lang and Pushan Majumdar and Wolfgang Ortner},
journal= {arXiv preprint arXiv:hep-lat/0611010},
year = {2008}
}
Comments
8 pages, 2 figures, Final version. To be published