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 following from a cubic equation to a chiral matrix model, both for the valence quark distribution and the anomalous symmetry breaking. We explicitly construct Dirac spectra for Wilson fermions at finite temperature, and use their end-point singularities to derive analytically the pertinent critical lines. The Dirac spectral distributions reflect on localized states with competitive effects between the quark Compton wavelength and the thermal wavelength. These effects can be checked in lattice simulations.