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arXiv · hep-th/9811212

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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Abstract

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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P. H. Damgaard, J. C. Osborn, D. Toublan, J. J. M. Verbaarschot. 1998-11-24. The Microscopic Spectral Density of the QCD Dirac Operator. https://doi.org/10.1016/s0550-3213(99)00094-2

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