Chiral phase transition in a random matrix model with three flavors

Details Chiral phase transition in a random matrix model with three flavors Chiral phase transition in a random matrix model with three flavors

2010-01-20

arxiv.org/abs/1001.3640v1

PoS(LAT2009)222

Physics

High Energy Physics

High Energy Physics - Lattice

7 pages, 3 figures, Contribution to The XXVII International Symposium on Lattice Field Theory

Scientific paper

The chiral phase transition in the conventional random matrix model is the second order in the chiral limit, irrespective of the number of flavors N_f, because it lacks the U_A(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 N_f=2 and a first-order transition for N_f=3, and recovers a physical temperature dependence of the topological susceptibility.

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