The microscopic spectral density of the QCD Dirac operator

We derive the microscopic spectral density of the Dirac operator in SU(N-c greater than or equal to 3) Yang-Mills theory coupled to Nf 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. (C) 1999 Elsevier Science B.V.