Copyright © 1999 Published by Elsevier Science B.V.
The microscopic spectral density of the QCD Dirac operator
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
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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