Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality

Details Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality Chiral Random Matrix Models : Thermodynamics, Phase Transitions and Universality

1996-04-05

arxiv.org/abs/hep-ph/9604253v2

Phys.Lett. B392 (1997) 155-162

Physics

High Energy Physics

High Energy Physics - Phenomenology

One figure added. Discussion in section 4 changed. Section 5, slightly reformatted

Scientific paper

10.1016/S0370-2693(96)01539-0

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 $U_A(1)$ breaking are suggested. For three flavours the transition is reminiscent of the isotropic-nematic transition in liquid crystals.

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