# Thermodynamic Geometry of Nambu -- Jona Lasinio model

## TL;DR

This paper applies thermodynamic Riemannian geometry to analyze phase transitions in the NJL model, revealing connections between chiral symmetry and deconfinement phenomena in QCD.

## Contribution

It introduces a geometric approach to study phase transitions in the NJL model and compares it with QCD, highlighting the link between chiral symmetry and confinement.

## Key findings

- Thermodynamic geometry accurately describes the phase diagram.
- Clear connection between chiral symmetry restoration and deconfinement.
- Applicable in both chiral limit and finite quark masses.

## Abstract

The formalism of Riemannian geometry is applied to study the phase transitions in Nambu -Jona Lasinio (NJL) model. Thermodynamic geometry reliably describes the phase diagram, both in the chiral limit and for finite quark masses. The comparison between the geometrical study of NJL model and of (2+1) Quantum Chromodynamics at high temperature and small baryon density shows a clear connection between chiral symmetry restoration/breaking and deconfinement/confinement regimes.