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Polyakov loop model with exact static quark determinant in the ’t Hooft-Veneziano limit: U(N) case

S. Voloshyn*

  • *Contact author: billy.sunburn@gmail.com, s.voloshyn@bitp.kyiv.ua
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Phys. Rev. D 113, 074526 – Published 30 April, 2026

DOI: https://doi.org/10.1103/5mdx-j8qy

Abstract

I investigate a d-dimensional U(N) Polyakov loop model that includes the exact static determinant with Nf degenerate quark flavor and depends explicitly on the quark mass and chemical potential. In the large N,Nf limit mean field gives the exact solution, and the core of the Polyakov loop model is reduced to a deformed unitary matrix model, which I solve exactly. I compute the free energy, the expectation value of the Polyakov loop, and the quark condensate. The phase diagram of the model and the type of phase transition is investigated and shows it depends on the ratio κ=Nf/N.

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Phys. Rev. D 113, 074526– Published 30 April, 2026
  • Received 3 February 2026
  • Accepted 20 March 2026
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Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

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