The Microscopic Spectral Density of the QCD Dirac Operator

P.H. Damgaard , J.C. Osborn , D. Toublan , J.J.M. Verbaarschot

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classification ✦ hep-th cond-mat.dis-nn

keywords densitydiracmicroscopicoperatorspectraltheoryagreescalculations

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We derive the microscopic spectral density of the Dirac operator in $SU(N_c\geq 3)$ Yang-Mills theory coupled to $N_f$ fermions in the fundamental representation. An essential technical ingredient is an exact rewriting of this density in terms of integrations over the super Riemannian manifold $Gl(N_f+1|1)$. The result agrees exactly with earlier calculations based on Random Matrix Theory.

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The Microscopic Spectral Density of the QCD Dirac Operator

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