Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality
High Energy Physics - Phenomenology
2009-10-28 v2
Abstract
For one flavour, we observe that standard chiral random matrix models are schematic variants of the Nambu-Jona-Lasinio (NJL) models whether in vacuum or matter. The ensuing thermodynamics is that of constituent quarks, with mean-field universality in general. For two and three flavours non-standard chiral random matrix models with breaking are suggested. For three flavours the transition is reminiscent of the isotropic-nematic transition in liquid crystals.
Cite
@article{arxiv.hep-ph/9604253,
title = {Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality},
author = {Romuald Janik and Maciek Nowak and Ismail Zahed},
journal= {arXiv preprint arXiv:hep-ph/9604253},
year = {2009}
}
Comments
One figure added. Discussion in section 4 changed. Section 5, slightly reformatted