Universal results from an alternate random matrix model for QCD with a baryon chemical potential

Details Universal results from an alternate random matrix model for QCD with a baryon chemical potential Universal results from an alternate random matrix model for QCD with a baryon chemical potential

2004-03-11

arxiv.org/abs/hep-th/0403131v1

Phys.Rev.Lett. 93 (2004) 222001

Physics

High Energy Physics

High Energy Physics - Theory

4 pages

Scientific paper

10.1103/PhysRevLett.93.222001

We introduce a new non-Hermitian random matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We present exact results for all eigenvalue correlations for any number of quark flavors using the orthogonal polynomial method. We also find that the parameters of the model can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached. This makes the model and its extensions well suited for studying the phase diagram of QCD.

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