Random matrix models for chiral and diquark condensation

Details Random matrix models for chiral and diquark condensation Random matrix models for chiral and diquark condensation

2005-03-03

arxiv.org/abs/hep-ph/0503032v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, 2 figures, proceedings of the workshop "Three Days of Hadronic Physics", Joint Meeting Heidelberg-Liege-Paris-Rostock

Scientific paper

10.1063/1.1961059

We consider random matrix models for the thermodynamic competition between chiral symmetry breaking and diquark condensation in QCD at finite temperature and finite baryon density. The models produce mean field phase diagrams whose topology depends solely on the global symmetries of the theory. We discuss the block structure of the interactions that is imposed by chiral, spin, and color degrees of freedom and comment on the treatment of density and temperature effects. Extension of the coupling parameters to a larger class of theories allows us to investigate the robustness of the phase topology with respect to variations in the dynamics of the interactions. We briefly study the phase structure as a function of coupling parameters and the number of colors.

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