Chiral phase transition in a random matrix model with three flavors
Abstract
The chiral phase transition in the conventional random matrix model is the second order in the chiral limit, irrespective of the number of flavors Nf, because it lacks the UA(1)-breaking determinant interaction term. Furthermore, it predicts an unphysical value of zero for the topological susceptibility at finite temperatures. We propose a new chiral random matrix model which resolves these difficulties by incorporating the determinant interaction term within the instanton gas picture. The model produces a second-order transition for Nf=2 and a first-order transition for Nf=3, and recovers a physical temperature dependence of the topological susceptibility.
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