# Quarks mass function at finite density in real-time formalism

## TL;DR

This paper investigates how quark masses change at finite density using real-time formalism in QCD, providing insights into chiral symmetry restoration without relying on the instantaneous exchange approximation.

## Contribution

It introduces a calculation of the effective quark mass at finite density using Schwinger-Dyson equations in real-time formalism, avoiding the instantaneous exchange approximation.

## Key findings

- Properties of quark mass functions are characterized at zero temperature.
- The quark propagator behavior is analyzed at finite density.
- Chiral symmetry restoration mechanisms are explored.

## Abstract

Chiral symmetry restoration of quarks is investigated at finite density in quantum chromodynamics. The effective quark mass is calculated with the Schwinger-Dyson equation in the real-time formalism without the instantaneous exchange approximation. We present some properties of the quark mass functions and the quark propagator at zero temperature.