Quark mass function at finite temperature in real-time formalism

TL;DR

This paper studies how quark mass functions behave at finite temperature using real-time formalism in quantum chromodynamics, directly evaluating the imaginary part of the mass function without approximations.

Contribution

It introduces a method to calculate the quark mass function's imaginary part at finite temperature in Minkowski space without the instantaneous exchange approximation.

Findings

Imaginary part of the mass function is directly evaluated.

Real-time formalism allows for more accurate finite temperature analysis.

Method avoids common approximations in Schwinger-Dyson equation calculations.

Abstract

We investigate properties of quark mass functions at finite temperature in quantum chromodynamics calculated by Schwinger-Dyson equation in real-time formalism without the instantaneous exchange approximation, in which one-loop integration is performed in Minkowski space. In our model, an imaginary part of the mass function is directory evaluated.