SMALLEST DIRAC EIGENVALUE DISTRIBUTION FROM RANDOM-MATRIX THEORY - ART. NO. 087704

Authors
NISHIGAKI SM DAMGAARD PH WETTIG T
Citation
Sm. Nishigaki et al., SMALLEST DIRAC EIGENVALUE DISTRIBUTION FROM RANDOM-MATRIX THEORY - ART. NO. 087704, Physical review. D. Particles and fields, 5808(8), 1998, pp. 7704
Citations number
27
Categorie Soggetti
Physics, Particles & Fields
Journal title
Physical review. D. Particles and fields → ACNP
ISSN journal
05562821
Volume
5808
Issue
8
Year of publication
1998
Database
ISI
SICI code
0556-2821(1998)5808:8<7704:SDEDFR>2.0.ZU;2-4
Abstract
We derive the hole probability and the distribution of the smallest ei genvalue of chiral Hermitian random matrices corresponding to Dirac op erators coupled to massive quarks in QCD. They are expressed in terms of the QCD partition function in the mesoscopic regime. Their universa lity is explicitly related to that of the microscopic massive Bessel k ernel. [S0556-2821(98)03118-X].