Equilibrium and non-equilibrium properties of the QGP in a magnetic field: a holographic approach

TL;DR

This paper reviews holographic modeling of the quark-gluon plasma in magnetic fields, demonstrating good agreement with lattice data and analyzing anisotropic shear viscosity ratios.

Contribution

It introduces a holographic Einstein-Maxwell-Dilaton model that accurately reproduces QCD thermodynamics and magnetic effects, providing new insights into anisotropic viscosities.

Findings

Quantitative agreement with lattice QCD data for the equation of state.

Polyakov loop behavior in magnetic fields matches lattice results.

Anisotropic shear viscosity ratio shows $ ext{η}_ ext{parallel}< ext{η}_ ext{perp}$ for $B>0$.

Abstract

This manuscript reviews recent theoretical progress on the understanding of the quark gluon plasma in a magnetic field that I presented on the conference Hot Quarks 2016, held at South Padre Island, Texas, USA, 12-17 September 2016. It is shown that, using a holographic bottom-up Einstein-Maxwell-Dilaton model, one can have a good quantitative agreement with Lattice data for QCD equation of state and Polyakov loop with nonzero magnetic field. I also present results for the anisotropic shear viscosity ratio $\eta_{\parallel}/\eta_{\perp}$, with the conclusion that $\eta_{\parallel}<\eta_{\perp}$ for $B>0$.