Quark number susceptibilities from resummed perturbation theory

TL;DR

This paper calculates quark number susceptibilities in hot QCD using resummed perturbation theory methods and compares the results with high-precision lattice data to assess their accuracy.

Contribution

It introduces two resummed perturbation theory approaches for calculating susceptibilities and compares their effectiveness against lattice results.

Findings

Resummed perturbation theory results agree well with lattice data.

Two different resummation methods are successfully applied to hot QCD.

The study enhances understanding of QCD thermodynamics at high temperatures.

Abstract

We evaluate the second and fourth order quark number susceptibilities in hot QCD using two variations of resummed perturbation theory. On one hand, we carry out a one-loop calculation within hard-thermal-loop perturbation theory, and on the other hand perform a resummation of the four-loop finite density equation of state derived using a dimensionally reduced effective theory. Our results are subsequently compared with recent high precision lattice data, and their agreement thoroughly analyzed.