Chiral Random Matrix Models in QCD

Details Chiral Random Matrix Models in QCD Chiral Random Matrix Models in QCD

1998-12-15

arxiv.org/abs/hep-ph/9812376v1

Acta Phys.Polon. B29 (1998) 3957-3988

Physics

High Energy Physics

High Energy Physics - Phenomenology

32 pages with 13 EPS figures included. Paper based on talks given by the Authors at Kyoto, Bielefeld, Trento and Zakopane

Scientific paper

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 (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. Some new results are discussed in light of recent lattice simulations.

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