Equation of state of QCD at finite chemical potential from an alternative expansion scheme

TL;DR

This paper introduces a new expansion scheme for calculating the QCD equation of state at finite chemical potential, offering improved convergence over traditional Taylor expansion methods and extending reliable calculations to higher densities.

Contribution

The authors develop and demonstrate an alternative expansion scheme for QCD thermodynamics that surpasses the convergence of the Taylor expansion, enabling more accurate high-density predictions.

Findings

Improved convergence of the new expansion scheme.

Extension of reliable calculations up to rac{.5}{T} in baryon chemical potential.

Results obtained in the continuum for thermodynamic observables.

Abstract

The equation of state of Quantum Chromodynamics (QCD) at finite density is currently known only in a limited range in the baryon chemical potential $\mu_B$. This is due to fundamental shortcomings of traditional methods such as Taylor expansion around $\mu_B=0$. In this contribution, we present an alternative scheme that displays substantially improved convergence over the Taylor expansion method. We calculate the alternative expansion coefficients in the continuum, and show our results for the thermodynamic observables up to $\mu_B/T\le3.5$.