Universal magnetoresponse in QCD and $\mathcal{N}=4$ SYM

TL;DR

This paper demonstrates a universal scaling behavior of magnetoresponse in QCD and $ ext{N}=4$ SYM, showing that the pressure ratio depends mainly on the ratio $T/\sqrt{B}$, and finds strong agreement between lattice QCD data and holographic models.

Contribution

It reveals a universal scaling law for magnetoresponse in QCD and compares it successfully with $ ext{N}=4$ SYM holographic predictions, supporting the applicability of holography to hot QCD.

Findings

Pressure ratio scales with $T/\, ext{sqrt}(B)$ across wide conditions.

Excellent agreement between lattice QCD data and holographic models.

Supports holographic models as effective tools for hot QCD analysis.

Abstract

Using recent lattice data on the thermodynamics of QCD in the presence of a background magnetic field, we show that the ratio of transverse to longitudinal pressure exhibits, to good accuracy, a simple scaling behavior over a wide range of temperature and magnetic field, essentially depending only on the ratio $T/\sqrt B$. We compare this QCD response to the corresponding magnetoresponse in maximally supersymmetric Yang Mills theory. Given suitable calibrations defining the comparison, we find excellent agreement. This may be viewed as a further test of the applicability of holographic models for hot QCD.