Chiral Random Matrix Models in QCD
High Energy Physics - Phenomenology
2007-05-23 v1 Condensed Matter
High Energy Physics - Lattice
High Energy Physics - Theory
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.
Cite
@article{arxiv.hep-ph/9812376,
title = {Chiral Random Matrix Models in QCD},
author = {Romuald A. Janik and Maciej A. Nowak and Gabor Papp and Ismail Zahed},
journal= {arXiv preprint arXiv:hep-ph/9812376},
year = {2007}
}
Comments
32 pages with 13 EPS figures included. Paper based on talks given by the Authors at Kyoto, Bielefeld, Trento and Zakopane