The Microscopic Spectral Density of the QCD Dirac Operator

Details The Microscopic Spectral Density of the QCD Dirac Operator The Microscopic Spectral Density of the QCD Dirac Operator

1998-11-24

arxiv.org/abs/hep-th/9811212v1

Nucl.Phys. B547 (1999) 305-328

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, Latex

Scientific paper

10.1016/S0550-3213(99)00094-2

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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