Two-loop HTL pressure at finite temperature and chemical potential

TL;DR

This paper computes the two-loop pressure of quark-gluon plasma at finite temperature and chemical potential using HTLpt, providing insights into high-temperature, small-chemical-potential regimes and comparing with perturbative and lattice QCD results.

Contribution

It introduces a two-loop HTLpt calculation of QCD pressure at finite temperature and chemical potential, extending previous one-loop or simpler approximations.

Findings

Agreement with lattice QCD at high temperature

Reliable high-temperature, small-chemical-potential results

Enhanced understanding of QCD thermodynamics

Abstract

We calculate the two-loop pressure of a plasma of quarks and gluons at finite temperature and chemical potential using the hard thermal loop perturbation theory (HTLpt) reorganization of finite temperature/density quantum chromodynamics. The computation utilizes a high temperature expansion through fourth order in the ratio of the chemical potential to temperature. This allows us to reliably access the region of high temperature and small chemical potential. We compare our final result for the two-loop HTLpt pressure at finite temperature and chemical potential with perturbative quantum chromodynamics (QCD) calculations and available lattice QCD results.