Equation of State for QCD at finite temperature and density. Resummation versus lattice data

TL;DR

This paper compares two resummation methods, HTLpt and DR, for finite-temperature QCD with lattice data, showing good agreement for thermodynamic quantities and susceptibilities.

Contribution

It provides a detailed comparison of HTLpt and DR resummation techniques against lattice data for finite-temperature QCD.

Findings

Good agreement between resummation methods and lattice data for pressure and susceptibilities.

3-loop HTLpt results match lattice data for thermodynamic quantities.

Four-loop DR results accurately reproduce quark susceptibilities.

Abstract

The perturbative series for finite-temperature field theories has very poor convergence properties and one needs a way to reorganize it. In this talk, I review two ways of reorganizing the perturbative series for field theories at finite temperature and chemical potential, namely hard-thermal-loop perturbation theory (HTLpt) and dimensional reduction (DR). I will present results for the pressure, trace anomaly, speed of sound and the quark susceptibilities from a 3-loop HTLpt calculation and for the quark susceptibilities using DR at four loops. A careful comparison with available lattice data shows good agreement for a number of physical quantities.