Microscopic universality in random matrix models of QCD

Details Microscopic universality in random matrix models of QCD Microscopic universality in random matrix models of QCD

1997-12-04

arxiv.org/abs/hep-th/9712051v1

"New Developments in Quantum Field Theory" (Plenum Press, New York, 1998), 287-295

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX2e + plenum.sty. To appear in the Proceedings of the NATO Workshop "New Developments in Quantum Field Theory", Z

Scientific paper

I shall present a proof of universality of the microscopic spectral correlations in Verbaarschot's random matrix models of QCD, to corroborate the beautiful agreement between the predictions from the gaussian model and the numerical data. Rather than following closely the original proof, I shall disguise it with the conventional approach of Q, P operators and with the method employed in an alternative proof by Kanzieper-Freilikher, in a hope that borrowing notions from quantum mechanics may add the proof some pedagogical flavor. I shall also discuss a problem associated with the multi-criticality.

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