Three-loop HTLpt thermodynamics at finite temperature and chemical potential

TL;DR

This paper advances the calculation of thermodynamic properties of hot, dense matter using a sophisticated perturbative approach (HTLpt) up to three loops, achieving results that align well with lattice data.

Contribution

It introduces a state-of-the-art NNLO HTLpt method for thermodynamics at finite temperature and chemical potential, providing improved analytic results.

Findings

Good agreement with lattice data for pressure

Accurate quark number susceptibilities

Enhanced understanding of QCD thermodynamics

Abstract

In this proceedings we present a state-of-the-art method of calculating thermodynamic potential at finite temperature and finite chemical potential, using Hard Thermal Loop perturbation theory (HTLpt) up to next-to-next-leading-order (NNLO). The resulting thermodynamic potential enables us to evaluate different thermodynamic quantities including pressure and various quark number susceptibilities (QNS). Comparison between our analytic results for those thermodynamic quantities with the available lattice data shows a good agreement.