Determination of Lattice QCD Equation of state at a 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.