1 research outputs found
Equivalent of a Thouless energy in lattice QCD Dirac spectra
Random matrix theory (RMT) is a powerful statistical tool to model spectral
fluctuations. In addition, RMT provides efficient means to separate different
scales in spectra. Recently RMT has found application in quantum chromodynamics
(QCD). In mesoscopic physics, the Thouless energy sets the universal scale for
which RMT applies. We try to identify the equivalent of a Thouless energy in
complete spectra of the QCD Dirac operator with staggered fermions and
lattice gauge fields. Comparing lattice data with RMT predictions we
find deviations which allow us to give an estimate for this scale.Comment: LATTICE99 (theor. devel.), 3 pages, 4 figure