Lattice QCD equation of state 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, overcoming limitations of traditional Taylor expansion methods and providing more reliable results up to higher chemical potentials.

Contribution

A novel extrapolation scheme for the QCD equation of state at finite chemical potential, with continuum lattice results for expansion coefficients and thermodynamic observables up to .5 times the temperature.

Findings

Extended the reach of QCD thermodynamics calculations to higher chemical potentials.

Provided continuum extrapolated lattice results for new expansion coefficients.

Demonstrated the scheme's effectiveness up to .5 q .5 q .5 q .5 q .5 q .5 q .5 q .5 q .5 q .5

Abstract

Taylor expansion of the equation of state of QCD suffers from shortcomings at chemical potentials $\mu_B \geq (2-2.5)T$. First, one faces difficulties inherent in performing such an expansion with a limited number of coefficients; second, higher order coefficients determined from lattice calculations suffer from a poor signal-to-noise ratio. In this work, we present a novel scheme for extrapolating the equation of state of QCD to finite, real chemical potential that can extend its reach further than previous methods. We present continuum extrapolated lattice results for the new expansion coefficients and show the thermodynamic observables up to $\mu_B/T\le3.5$.