Acta Physica Polonica B

Vol. 29, No. 12, December 1998, page 3957


Chiral Random Matrix Models in QCD

Romuald A. Janik, Maciej A. Nowak, Gabor Papp, Ismail Zahed

We review some motivation behind the introduction of chiral random matrix models in QCD, with particular emphasis on the importance of the Gell-Mann--Oakes--Renner (GOR) relation for these arguments. We show why the microscopic limit is universal in power counting, and present arguments for why the macroscopic 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 our new results in light of recent lattice simulations.

PACS numbers: 12.38.Lg


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