The microscopic spectral density of the QCD Dirac operator

Citation
Ph. Damgaard et al., The microscopic spectral density of the QCD Dirac operator, NUCL PHYS B, 547(1-2), 1999, pp. 305-328
Citations number
61
Categorie Soggetti
Physics
Journal title
NUCLEAR PHYSICS B
ISSN journal
05503213 → ACNP
Volume
547
Issue
1-2
Year of publication
1999
Pages
305 - 328
Database
ISI
SICI code
0550-3213(19990510)547:1-2<305:TMSDOT>2.0.ZU;2-0
Abstract
We derive the microscopic spectral density of the Dirac operator in SU(N-c greater than or equal to 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 Riemannia n manifold Gl(N-f + 1/1). The result agrees exactly with earlier calculatio ns based on Random Matrix Theory. (C) 1999 Elsevier Science B.V.