The Quark Number Susceptibility in Hard-Thermal-Loop Approximation

TL;DR

This paper derives a general formula for quark number susceptibility using the Ward-Takahashi identity and calculates it within the Hard-Thermal-Loop approximation, comparing with previous results.

Contribution

It introduces a new integral formula for QNS involving the full quark propagator and applies HTL approximation for finite temperature and zero chemical potential.

Findings

Derived a general formula for QNS using Ward-Takahashi identity

Calculated QNS in HTL approximation at finite temperature

Compared results with previous literature on HTL QNS

Abstract

With the aid of the vector Ward-Takahashi identity we derive a general formula for the quark number susceptibility (QNS) which expresses the QNS as an integral expression only involving the full quark propagator at finite temperature and chemical potential. The QNS at finite temperature and zero chemical potential is calculated with the dressed quark propagator in the Hard-Thermal-Loop (HTL) approximation. A comparison of our result with the results of QNS in HTL approximation in previous literatures is given.