Vector interaction strength in Polyakov-Nambu-Jona-Lasinio models from hadron-quark phase diagrams

TL;DR

This paper estimates the vector interaction strength in PNJL models by matching hadron-quark phase diagrams, providing a constrained range of values consistent with lattice QCD data, enhancing understanding of quark matter interactions.

Contribution

The study introduces a method to estimate the vector interaction strength in PNJL models using hadron-quark phase diagram matching, narrowing down its plausible range.

Findings

Estimated G_V range: 7.66-16.13 GeV$^{-2}$

G_V/G_s ratio: 1.52-3.2

Results compatible with lattice QCD constraints

Abstract

We estimate the vector interaction strength of the Polyakov-Nambu-Jona-Lasinio (PNJL) parametrizations, assuming that its transition curves should be as close as possible of the recently studied RMF-PNJL hadron-quark phase diagrams. Such diagrams are obtained matching relativistic mean-field hadronic models, and the PNJL quark ones. By using this method we found for the magnitude of the vector interaction, often treated as a free parameter, a range of 7.66 GeV$^{-2}\lesssim G_V \lesssim 16.13$ GeV$^{-2}$, or equivalently, $1.52 \lesssim G_V/G_s \lesssim 3.2$, with $G_s$ being the scalar coupling constant of the model. These values are compatible but restricts the range of 4 GeV$^{-2}\lesssim G_V \lesssim 19$ GeV$^{-2}$, recently obtained from lattice QCD data through a different mean-field model approach.