Extended Chiral Quark Models in the Framework of Quantum Chromodynamic: Theory and their Applications in Hot and Dense Mediums

TL;DR

This review discusses extended chiral quark models, their modifications for hot and dense mediums, and their agreement with lattice QCD, highlighting challenges like external magnetic fields.

Contribution

It provides a comprehensive overview of how extended chiral quark models incorporate higher-order interactions and address non-normalization issues, improving their applicability in extreme conditions.

Findings

Extended models match lattice QCD results at finite temperature and density.

Inclusion of higher-order interactions enhances model accuracy.

Handling external magnetic fields remains a complex challenge.

Abstract

In this review article, we give overview on the extended chiral quark models. In particular, how these models are extended to include the higher-order interactions, quantized fields, logarithmic potential and the effect of these modifications on hadron properties at hot and dense mediums. In addition, how we deal with non-normalization of the Nambu-Jona-Lasinio (NJL) model by using mid-point technique. Therefore, the extended quark models give satisfied results in comparison with lattice QCD at finite temperature and baryonic chemical potential. The extra effort is needed to deal with chiral quark models in the presence of external magnetic field at finite temperature and density.