Microscopic Universality and the Chiral Phase Transition in two Flavor QCD

Details Microscopic Universality and the Chiral Phase Transition in two Flavor QCD Microscopic Universality and the Chiral Phase Transition in two Flavor QCD

1999-12-02

arxiv.org/abs/hep-lat/9912004v2

Phys.Rev. D62 (2000) 014503

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.62.014503

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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