In the 't Hooft-Veneziano limit the Polyakov loop model with exact static quark determinant reduces to a deformed unitary matrix model that is solved exactly, yielding free energy, Polyakov loop expectation value, quark condensate, and a phase diagram controlled by κ = N_f/N.
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Polyakov loop model with exact static quark determinant in the 't Hooft-Veneziano limit: U(N) case
In the 't Hooft-Veneziano limit the Polyakov loop model with exact static quark determinant reduces to a deformed unitary matrix model that is solved exactly, yielding free energy, Polyakov loop expectation value, quark condensate, and a phase diagram controlled by κ = N_f/N.