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

The Microscopic Spectral Density of the QCD Dirac Operator

High Energy Physics - Theory 2009-10-31 v1 Disordered Systems and Neural Networks

Authors: 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.

Keywords

microscopic spectral density dirac operator yang-mills theory super riemannian manifold random matrix theory fermions

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@article{arxiv.hep-th/9811212,
  title  = {The Microscopic Spectral Density of the QCD Dirac Operator},
  author = {P. H. Damgaard and J. C. Osborn and D. Toublan and J. J. M. Verbaarschot},
  journal= {arXiv preprint arXiv:hep-th/9811212},
  year   = {2009}
}

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26 pages, Latex

The Microscopic Spectral Density of the QCD Dirac Operator

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