# Quark-hadron Phase Transition in Proto-Neutron Stars Cores based on a Non-local NJL Model

## TL;DR

This paper investigates the quark-hadron phase transition in proto-neutron star cores using a non-local SU(3) NJL model, focusing on thermodynamic properties and the effects of vector interactions on the equation of state.

## Contribution

It introduces a non-local NJL model with vector interactions to describe quark matter in proto-neutron stars, providing a more realistic equation of state for astrophysical applications.

## Key findings

- Vector interactions significantly influence thermodynamic quantities.
- The model predicts specific features of the quark-hadron phase transition.
- Results are relevant for understanding proto-neutron star core composition.

## Abstract

We study the QCD phase diagram using a non-local SU(3) NJL model with vector interactions among quarks. We analyze several thermodynamic quantities such as entropy and specific heat, and study the influence of vector interactions on the thermodynamic properties of quark matter. Upon imposing electric charge neutrality and baryon number conservation on the field equations, we compute models for the equation of state of the inner cores of proto-neutron stars providing a non-local treatment of quark matter for astrophysics.