Journal
PHYSICAL REVIEW D
Volume 62, Issue 1, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.62.014503
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We reanalyze data from available finite-temperature QCD simulations near the chiral transition, with the help of chiral random matrix theory (chiral RMT). The statistical properties of he 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 chiral RMT.
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