High order quark number susceptibilities in hot QCD from lattice EQCD

TL;DR

This paper develops a formalism for higher derivatives of pressure in hot QCD with respect to quark chemical potential, providing continuum-extrapolated lattice EQCD results and benchmarking against full-QCD and perturbative data.

Contribution

It introduces formulae for operators up to sixth derivative of pressure in hot QCD and applies them to lattice EQCD at various temperatures and quark flavors.

Findings

Continuum-extrapolated results at zero and finite chemical potential.

Benchmarking shows the validity range of perturbative series.

Assessment of dimensional reduction procedure in hot QCD.

Abstract

Building on the experience of [1], we develop a formalism to construct operators for higher derivatives of the pressure in hot QCD with respect to the quark chemical potential $\mu$. We provide formulae for the operators up to the sixth derivative, and obtain continuum-extrapolated results from lattice EQCD at zero and finite $\mu$ and at six different pairs of temperature T and number of massless quark flavors $n_f$. Our data is benchmarked against full-QCD lattice and perturbative results, allowing to judge the quality of the perturbative series expansion in EQCD and the dimensional reduction procedure as a whole.