Chiral random matrix models in QCD

Citation
Ra. Janik et al., Chiral random matrix models in QCD, ACT PHY P B, 29(12), 1998, pp. 3957-3988
Citations number
53
Categorie Soggetti
Physics
Journal title
ACTA PHYSICA POLONICA B
ISSN journal
05874254 → ACNP
Volume
29
Issue
12
Year of publication
1998
Pages
3957 - 3988
Database
ISI
SICI code
0587-4254(199812)29:12<3957:CRMMIQ>2.0.ZU;2-N
Abstract
We review some motivation behind the introduction of chiral random matrix m odels in QCD, with particular emphasis on the importance of the Gell-Mann-O akes-Renner (GOR) relation for these arguments. We show why the microscopic limit is universal in power counting, and present arguments for why the ma croscopic limit is generic for a class of problems that defy power counting , examples being the strong CP and U(1) problems. We also discuss some of o ur new results in light of recent lattice simulations.