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arxiv: hep-lat/9804030 · v2 · submitted 1998-04-28 · ✦ hep-lat · hep-ph

Microscopic universality with dynamical fermions

classification ✦ hep-lat hep-ph
keywords dynamicalfermionslatticequarksrandom-matrixtheoryuniversalityagreement
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It has recently been demonstrated in quenched lattice simulations that the distribution of the low-lying eigenvalues of the QCD Dirac operator is universal and described by random-matrix theory. We present first evidence that this universality continues to hold in the presence of dynamical quarks. Data from a lattice simulation with gauge group SU(2) and dynamical staggered fermions are compared to the predictions of the chiral symplectic ensemble of random-matrix theory with massive dynamical quarks. Good agreement is found in this exploratory study. We also discuss implications of our results.

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