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

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.

17 pages, 6 figures

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• Quantum Simulation of Chiral Phase Transitions
• Thermodynamics and susceptibilities of isospin imbalanced QCD matter
• Discussions on the crossover property within the Nambu--Jona-Lasinio model
• The Wigner solution of quark gap equation at nonzero current quark mass and partial restoration of chiral symmetry at finite chemical potential
• Continuum study of various susceptibilities within thermal QED${}_3$