Microscopic Universality and the Chiral Phase Transition in two Flavor QCD

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 $T_c$ for the chiral phase transition. Below and above $T_c$ the statistics are in agreement with the exact analytical predictions in the microscopic scaling regime. Above $T_c$ we observe a gap in the spectral density and a distribution compatible with the Airy distribution. Near $T_c$ the eigenvalue correlations appear inconsistent with chRMT.

arXiv comment9 pages, 6 figures (revtex.sty v3.1), 3 figures replaced, some changes in the text; to be published in Phys. Rev. D

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• Chiral phase transition in lattice QCD as a metal-insulator transition
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