The Polyakov loop models in the large N limit: Phase diagram at finite density

TL;DR

This paper constructs and analyzes Polyakov loop models in the large N limit at finite temperature and density, detailing their phase diagrams and thermodynamic properties.

Contribution

It introduces the 't Hooft-Veneziano limit for Polyakov loop models at finite density, providing detailed calculations of free energy, order parameters, and phase structure.

Findings

Phase diagram mapped at finite density and temperature

Polyakov loop expectation values computed

Baryon density behavior analyzed

Abstract

The 't Hooft-Veneziano limit of various U(N) and SU(N) Polyakov loop models is constructed at finite temperature and non-zero baryon chemical potential. In this paper we calculate the free energy, its derivatives, the Polyakov loop expectation values and the baryon density. The phase diagram is described in details.