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Microscopic Universality and the Chiral Phase Transition in two Flavor QCD

F. Farchioni·Ph. de Forcrand·I. Hip·C. B. Lang·K. Splittorff
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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.

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F. Farchioni, Ph. de Forcrand, I. Hip, C. B. Lang, K. Splittorff. 2000-03-09. Microscopic Universality and the Chiral Phase Transition in two Flavor QCD. https://doi.org/10.1103/physrevd.62.014503

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