The Microscopic Spectral Density of the QCD Dirac Operator

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

doi:10.1016/S0550-3213(99)00094-2

paper

The Microscopic Spectral Density of the QCD Dirac Operator

arXiv:hep-th/9811212 · doi:10.1016/S0550-3213(99)00094-2

Abstract

We derive the microscopic spectral density of the Dirac operator in $S U (N_{c} \geq 3)$ 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.

26 pages, Latex