# Thermodynamics of 2+1 Flavor Polyakov-Loop Quark-Meson Model under External Magnetic Field

## TL;DR

This paper investigates how external magnetic fields influence the thermodynamics of QCD using a 2+1 flavor Polyakov-loop quark-meson model with the functional renormalization group, aligning well with lattice QCD results.

## Contribution

It introduces a comprehensive study of magnetic effects on QCD thermodynamics incorporating quantum fluctuations via the FRG approach, providing new insights and comparisons with existing methods.

## Key findings

- Magnetic field significantly affects pressure and entropy density.
- Results agree with lattice QCD and perturbation theory.
- Provides an intuitive understanding of QCD response to magnetic fields.

## Abstract

We study the thermodynamics of QCD system under external magnetic field via the 2+1 flavor Polyakov-loop quark-meson model. To incorporate quantum and thermal fluctuations, the functional renormalization group approach is implemented in our work. Pressure, entropy density, magnetic susceptibility and other thermodynamic quantities are calculated and analyzed to investigate the effect of magnetic field on the QCD system. The calculated results are in reasonable agreement with lattice QCD simulations and perturbation theory. We then give an intuitive picture for the response of QCD system to the magnetic field.