Random matrix theory and spectral sum rules for the Dirac operator in QCD 1

@inproceedings{Shuryak1992RandomMT,
title={Random matrix theory and spectral sum rules for the Dirac operator in QCD 1},
author={Edward V. Shuryak and Jacobus J. M. Verbaarschot},
year={1992}
}

We construct a random matrix model that, in the large N limit, reduces to the low energy limit of the QCD partition function put forward by Leutwyler and Smilga. This equivalence holds for an arbitrary number of flavors and any value of the QCD vacuum angle. In this model, moments of the inverse squares of the eigenvalues of the Dirac operator obey sum rules, which we conjecture to be universal. In other words, the validity of the sum rules depends only on the symmetries of the theory but not… CONTINUE READING