Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

TL;DR

This paper reviews recent progress in understanding QCD vacuum susceptibilities and their role in the chiral phase transition, using Dyson-Schwinger equations to analyze various types of susceptibilities.

Contribution

It provides a comprehensive review of vacuum susceptibilities and their applications to the QCD chiral phase transition within the Dyson-Schwinger framework.

Findings

Detailed analysis of tensor, vector, axial-vector, scalar, and pseudo-scalar susceptibilities.

Insights into the nonperturbative properties of the QCD vacuum.

Applications to hadron properties and phase transition mechanisms.

Abstract

The QCD vacuum condensates and various vacuum susceptibilities are all important parameters which characterize the nonperturbative properties of the QCD vacuum. In the QCD sum rules external field formula, various QCD vacuum susceptibilities play important roles in determining the properties of hadrons. In this paper, we review the recent progress in studies of vacuum susceptibilities together with their applications to the chiral phase transition of QCD. The results of the tensor, the vector, the axial-vector, the scalar, and the pseudo-scalar vacuum susceptibilities are shown in detail in the framework of Dyson-Schwinger equations.