RANDOM-MATRIX THEORY AND 3-DIMENSIONAL QCD

Citation
Jjm. Verbaarschot et I. Zahed, RANDOM-MATRIX THEORY AND 3-DIMENSIONAL QCD, Physical review letters, 73(17), 1994, pp. 2288-2291
Citations number
25
Categorie Soggetti
Physics
Journal title
ISSN journal
00319007
Volume
73
Issue
17
Year of publication
1994
Pages
2288 - 2291
Database
ISI
SICI code
0031-9007(1994)73:17<2288:RTA3Q>2.0.ZU;2-Q
Abstract
We suggest that the special properties near zero virtuality of three-d imensional QCD follow from a Hermitian random matrix model. The exact spectral density is derived for this family of random matrix models fo r both an even and odd number of fermions. New sum rules for the inver se powers of the eigenvalues of the Dirac operator are obtained. The i ssue of anomalies in random matrix theories is discussed.