Inverse magnetic catalysis in holographic models of QCD

TL;DR

This paper investigates how magnetic fields influence the critical temperature of phase transitions in holographic QCD models, revealing inverse magnetic catalysis at low fields and a reversal at high fields.

Contribution

It demonstrates that in holographic models, the critical temperature decreases with magnetic field at low B, then increases and stabilizes at high B, aligning with lattice QCD observations.

Findings

Critical temperature decreases with B for B < T^2.

Critical temperature increases and stabilizes for B > T^2.

Results align with lattice QCD findings on inverse magnetic catalysis.

Abstract

We study the effect of magnetic field $B$ on the critical temperature $T_{c}$ of the confinement-deconfinement phase transition in hard-wall AdS/QCD, and holographic duals of flavored and unflavored $\mathcal{N}=4$ super-Yang Mills theories on $\mathbb{R}^3\times \rm S^1$. For all of the holographic models, we find that $T_{c}(B)$ decreases with increasing magnetic field $B\ll T^2$, consistent with the inverse magnetic catalysis recently observed in lattice QCD for $B\lesssim 1~GeV^2$. We also predict that, for large magnetic field $B\gg T^2$, the critical temperature $T_{c}(B)$, eventually, starts to increase with increasing magnetic field $B\gg T^2$ and asymptotes to a constant value.