Determination of Lattice QCD Equation of state at a finite chemical potential

TL;DR

This paper introduces an unbiased exponential resummation method for lattice QCD at finite chemical potential, improving the accuracy of thermodynamic observable estimates by addressing biases in correlation function calculations.

Contribution

It presents a novel unbiased exponential resummation formalism that accurately reproduces Taylor series in $m$ and maintains the all-order resummation structure.

Findings

Unbiased resummation improves finite density QCD analysis.

Method effectively reproduces Taylor series up to desired order.

Enhances reliability of lattice QCD thermodynamics at finite chemical potential.

Abstract

Exponential resummation to all orders in $\mu_B$ is a promising scheme which can capture contributions to all orders in $\mu_B$ by considering only the first few Taylor coefficients in the Taylor expansion of thermodynamic observables in lattice QCD. This approach however, gets affected by biased estimates of $n$-point correlation functions $D_n$ whose effects can significantly hinder probe of finite density QCD. We present an unbiased exponential resummation formalism, which can reproduce the Taylor series up to the desired order in $\mu_B$, besides retaining the original form of the all-order resummation estimate of QCD partition function.