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Chiral Random Matrix Models in QCD

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

hep-pharXiv:hep-ph/9812376

Abstract

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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