Microscopic Universality and the Chiral Phase Transition in two Flavor QCD
F. Farchioni, Ph. de Forcrand, I. Hip, C. B. Lang, K. Splittorff
Abstract
We re-analyze data from available finite-temperature QCD simulations near the chiral transition, with the help of Chiral Random Matrix Theory (chRMT). Statistical properties of the lowest-lying eigenvalues of the staggered Dirac operator for SU(3) lattice gauge theory with dynamical fermions are examined. We consider temperatures below, near, and above the critical temperature Tc for the chiral phase transition. Below and above Tc the statistics are in agreement with the exact analytical predictions in the microscopic scaling regime. Above Tc we observe a gap in the spectral density and a distribution compatible with the Airy distribution. Near Tc the eigenvalue correlations appear inconsistent with chRMT.
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