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Phases of unitary matrix models and lattice QCD2

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We investigate the different large N phases of a generalized Gross-Witten-Wadia (GWW) U(N) matrix model. The deformation mimics the one-loop determinant of fermion matter with a particular coupling to gauge fields. In one version of the model, the GWW phase transition is smoothed out and it becomes a crossover. In another version, the phase transition occurs along a critical line in the two-dimensional parameter space spanned by the 't Hooft coupling λ and the Veneziano parameter τ. We compute the expectation value of Wilson loops in both phases, showing that the transition is third order. A calculation of the β function shows the existence of an IR stable fixed point.

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Articles publicats en revistes (Física Quàntica i Astrofísica)

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Phases of unitary matrix models and lattice QCD2