Magnetic catalysis and inverse magnetic catalysis in (2+1)-dimensional gauge theories from holographic models

TL;DR

This paper investigates how external magnetic fields influence the deconfinement phase transition in (2+1)-dimensional holographic SU(N) gauge theories, revealing a critical magnetic field where the transition temperature vanishes and showing both magnetic catalysis and inverse catalysis phenomena.

Contribution

It provides exact solutions for the critical temperature across magnetic fields in holographic models, identifying a critical magnetic field where the transition temperature drops to zero.

Findings

Existence of a critical magnetic field where T_c vanishes

Inverse magnetic catalysis occurs for B < B_c

Magnetic catalysis occurs for B > B_c

Abstract

We study the deconfinement phase transition in $ (2+1) $-dimensional holographic $ SU(N) $ gauge theories in the presence of an external magnetic field from the holographic hard and soft wall models. We obtain exact solutions for the critical temperature of the deconfinement transition for any range of magnetic field. As a consequence, we find a critical magnetic field $(B_c)$, in which the critical temperature $(T_c)$ vanishes; for $B<B_c$ we have an inverse magnetic catalysis and for $ B>B_c $ we have a magnetic catalysis.