Dual simulation of a Polyakov loop model at finite baryon density: phase diagram and local observables

TL;DR

This paper presents numerical simulations of a dual Polyakov loop model at finite baryon density, mapping its phase diagram and local observables without sign problem issues.

Contribution

It introduces a dual formulation for a Polyakov loop model at finite density and provides detailed phase diagram analysis and correlation functions.

Findings

Identified first order phase transition region

Mapped crossover and second order transition line

Computed local observables and Polyakov loop correlations

Abstract

Many Polyakov loop models can be written in a dual formulation which is free of sign problem even when a non-vanishing baryon chemical potential is introduced in the action. Here, results of numerical simulations of a dual representation of one such effective Polyakov loop model at finite baryon density are presented. We compute various local observables such as energy density, baryon density, quark condensate and describe in details the phase diagram of the model. The regions of the first order phase transition and the crossover, as well as the line of the second order phase transition, are established. We also compute several correlation functions of the Polyakov loops.