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.
Exact Large-Nc Solution of an Effective Theory for Polyakov Loops at Finite Chemical Potential
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abstract
Using the strong coupling expansion we calculate the analytically exact order parameter for the effective theory of Polyakov loops with applied chemical potential in the large-Nc limit.
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UNVERDICTED 2representative citing papers
The large-N limit of a QCD-inspired unitary matrix model admits analytic solutions for spectral density, Wilson loops, and free energy in the ungapped phase, reproducing low-T QCD, with a third-order phase transition at μ=0 and a continuous transition of at least second order at finite μ.
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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.
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Large-$N$ Dynamics of a QCD-Inspired Unitary Matrix Model
The large-N limit of a QCD-inspired unitary matrix model admits analytic solutions for spectral density, Wilson loops, and free energy in the ungapped phase, reproducing low-T QCD, with a third-order phase transition at μ=0 and a continuous transition of at least second order at finite μ.