Characterization of Universal Behavior in QCD Dirac Spectra

Details Characterization of Universal Behavior in QCD Dirac Spectra Characterization of Universal Behavior in QCD Dirac Spectra

1998-07-09

arxiv.org/abs/hep-th/9807070v1

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, Latex and 4 postscript figures; Invited talk given at the 3rd Workshop on Continuous Advances in QCD, Minneapolis, A

Scientific paper

In this lecture we discuss correlations of the QCD Dirac eigenvalues. We find
that below a scale of $E_c\sim \Lambda/L^2$ they are given by chiral Random
Matrix Theory. This follows from analytical arguments based on partially
quenched Chiral Perturbation Theory and is substantiated by lattice QCD and
instanton liquid simulations.

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