Chiral Random Matrix Models in QCD
classification
✦ hep-ph
cond-mathep-lathep-th
keywords
argumentschiralcountinglimitmatrixmodelspowerproblems
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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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