Nonperturbative quark-gluon thermodynamics at finite density

TL;DR

This paper investigates the thermodynamics of the quark-gluon plasma at finite density using the Field Correlator Method, providing new analytic expressions and insights into the complex structure of the pressure as a function of chemical potential and temperature.

Contribution

It introduces an explicit integral form for the pressure at finite density, revealing the analytic structure and branch points in the complex chemical potential plane.

Findings

Good agreement with lattice data at zero density

Derived explicit integral form for pressure at finite density

Identified complex branch points at Roberge-Weiss values

Abstract

Thermodynamics of the quark-gluon plasma at finite density is studied in the framework of the Field Correlator Method, where thermodynamical effects of Polyakov loops and colormagnetic confinement are taken into account. Having found good agreement with numerical lattice data for zero density, we calculate pressure $P(T,\,\mu)$ for $0 <\mu< 400$ MeV and $150 <T< 1000$ MeV. For the first time the explicit intergral form is found in this region,demonstrating analytic structure in the complex $\mu$ plane. The resulting multiple complex branch points are found at the Roberge-Weiss values of $\operatorname{Im}\,\mu$, with $\operatorname{Re}\,\mu$ defined by the values of Polyakov lines and colormagnetic confinement.