# Quark mass function in Minkowski space

## TL;DR

This paper studies the quark mass function in quantum chromodynamics using Schwinger-Dyson equations in Minkowski space, comparing results with Euclidean space calculations to understand their differences and implications.

## Contribution

It introduces a method to analyze quark mass functions directly in Minkowski space, providing new insights into non-perturbative QCD calculations.

## Key findings

- Minkowski space calculations reveal differences from Euclidean space results.
- Comparison highlights the importance of space choice in non-perturbative QCD.
- Results contribute to more accurate modeling of quark dynamics.

## Abstract

We investigate the properties of quark mass functions in quantum chromodynamics calculated by the Schwinger-Dyson equation in the strong coupling region, in which the loop integration is performed in Minkowski space. The calculated results are compared with those obtained by integration in Euclidean space.