Neutral quark matter in a Nambu-Jona Lasinio model with vector interaction

TL;DR

This paper explores how vector interactions influence chiral symmetry restoration and meson energies in neutral quark matter using an extended Nambu-Jona Lasinio model at zero temperature and finite density.

Contribution

It introduces the vector extended NJL model to analyze the effects of vector interactions on chiral restoration and meson properties in neutral quark matter.

Findings

Vector interactions affect the density at which chiral symmetry is restored.

Charged pseudoscalar meson energies vary with quark chemical potential.

The model provides insights into the phase structure of neutral quark matter.

Abstract

We investigate the three flavor Nambu-Jona Lasinio model of neutral quark matter at zero temperature and finite density, keeping into account the scalar, the pseudoscalar and the Kobayashi-Maskawa-'t Hooft interactions as well as the repulsive vector plus axial-vector interaction terms (vector extended NJL, VENJL in the following). We focus on the effect of the vector interaction on the chiral restoration at finite density in neutral matter. We also study the evolution of the charged pseudoscalar meson energies as a function of the quark chemical potential.