Nonperturbative quark-gluon thermodynamics at finite density

Understand

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.