# Dense Quark-Gluon Plasma in strong magnetic fields

## TL;DR

This paper uses a non-perturbative Field Correlators method to study the behavior of quark-gluon plasma under strong magnetic fields at high temperatures and densities, providing analytic expressions and matching lattice data.

## Contribution

It introduces a non-perturbative approach to analyze QCD thermodynamics in magnetic fields, deriving analytic formulas for quark pressure and magnetic susceptibility.

## Key findings

- Magnetic susceptibility increases rapidly with temperature.
- Results agree with lattice data at zero density.
- Provides series and integral representations of key quantities.

## Abstract

A non-perturbative (np) method of Field Correlators (FCM) was applied to study QCD at temperatures above the deconfinement transition ($1<T/T_c<3,~T_c\sim0.16~GeV$) and nonzero baryon densities (baryon chemical potential $\mu_B<0.5~GeV$) in an external uniform magnetic field ($eB<0.5~GeV^2$). Within FCM, the np high-temperature dynamics is embodied in the Polyakov loop and in the Debye mass due to the Color-Magnetic Confinement. Analytic expressions for quark pressure and magnetic susceptibility were obtained. The expressions were represented as series and in integral form. Magnetic susceptibility was found to increase rapidly with temperature and slowly with density. The results at the zero density limit are in agreement with lattice data.