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Nuclear Physics B
Volume 547, Issues 1-2, 10 May 1999, Pages 305-328
 
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doi:10.1016/S0550-3213(99)00094-2    
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Copyright © 1999 Published by Elsevier Science B.V.

The microscopic spectral density of the QCD Dirac operator

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P. H. Damgaarda, J. C. Osbornb, D. Toublanb and J. J. M. Verbaarschotb

a Niels Bohr Institute, Blegdamsvej 17, Copenhagen, Denmark

b Department of Physics and Astronomy, SUNY, Stony Brook, NY 11794, USA


Received 11 December 1998; 
accepted 8 February 1999. ;
Available online 7 July 1999.

Abstract

We derive the microscopic spectral density of the Dirac operator in SU(Nc greater-or-equal, slanted 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 (Nf + 1/1). The result agrees exactly with earlier calculations based on Random Matrix Theory.

Author Keywords: QCD Dirac operator; Chiral random matrix theory; Partially quenched chiral perturbation theory; Super-Riemannian manifolds; Microscopic spectral density; Valence quark mass dependence

PACS classification codes: 11.30.Rd; 12.39.Fe; 12.38.Lg; 71.30.+h

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Nuclear Physics B
Volume 547, Issues 1-2, 10 May 1999, Pages 305-328
 
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