A model study of quark number susceptibility at finite temperature beyond rainbow-ladder approximation

TL;DR

This study calculates the quark number susceptibility in QCD at finite temperature using Dyson-Schwinger equations, comparing different truncation schemes to understand the effects of quark-gluon vertex dressing.

Contribution

It provides a comparative analysis of rainbow-ladder and Ball-Chiu truncations, showing minimal difference and highlighting the temperature dependence of QNS near the phase transition.

Findings

QNS is nearly zero at low temperature

QNS sharply increases near the chiral phase transition

Dressing effects of the quark-gluon vertex are small

Abstract

In this paper we calculate the quark number susceptibility (QNS) of QCD at finite temperature under the rainbow-ladder and Ball-Chiu type truncation schemes of the Dyson-Schwinger approach. It is found that the difference between the result of the rainbow-ladder truncation and that of Ball-Chiu type truncation is small, which shows that the dressing effect of the quark-gluon vertex on the QNS at finite temperature is small. It is also found that at low temperature the quark number susceptibility is nearly zero and it increases sharply when the temperature approaches the chiral phase transition point. A comparison between the result in the present paper with those in the literature is made.