LATTICE QCD SPECTRA AT FINITE-TEMPERATURE - A RANDOM-MATRIX APPROACH

For Kogut-Susskind fermions, the lattice results by the Columbia group are shown to be in good agreement with the spectral distribution foll owing from a cubic equation to a chiral matrix model, both for the val ence quark distribution and the anomalous symmetry breaking. We explic itly construct Dirac spectra for Wilson fermions at finite temperature , and use their end-point singularities to derive analytically the per tinent critical lines. The Dirac spectral distributions reflect on loc alized states with competitive effects between the quark Compton wavel ength and the thermal wavelength. These effects can be checked in latt ice simulations.