Three loop HTL perturbation theory at finite temperature and chemical potential

TL;DR

This paper presents a three-loop HTL perturbation theory calculation of thermodynamic properties of quark-gluon systems at finite temperature and chemical potential, showing good agreement with lattice data.

Contribution

It provides a high-order analytic calculation of thermodynamic quantities in QCD at finite temperature and chemical potential, improving theoretical predictions.

Findings

Good agreement between three-loop HTLpt results and lattice data for pressure.

Accurate predictions of quark susceptibilities.

Enhanced understanding of QCD thermodynamics at finite density.

Abstract

In this proceedings contribution we present a recent three-loop hard-thermal-loop perturbation theory (HTLpt) calculation of the thermodynamic potential for a finite temperature and chemical potential system of quarks and gluons. We compare the resulting pressure, trace anomaly, and diagonal/off-diagonal quark susceptibilities with lattice data. We show that there is good agreement between the three-loop HTLpt analytic result and available lattice data.