Equivalent of a Thouless energy in lattice QCD Dirac spectra

Details Equivalent of a Thouless energy in lattice QCD Dirac spectra Equivalent of a Thouless energy in lattice QCD Dirac spectra

1999-09-06

arxiv.org/abs/hep-lat/9909032v1

Nucl.Phys.Proc.Suppl. 83 (2000) 914-916

Physics

High Energy Physics

High Energy Physics - Lattice

LATTICE99 (theor. devel.), 3 pages, 4 figures

Scientific paper

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 $SU_c(2)$ lattice gauge fields. Comparing lattice data with RMT predictions we find deviations which allow us to give an estimate for this scale.

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