A dynamical Einstein-Born-Infeld-dilaton model and holographic quarkonium melting in a magnetic field

TL;DR

This paper develops a dynamical Einstein-Born-Infeld-dilaton holographic model to study how external magnetic fields influence quarkonium melting temperatures, revealing a transition from inverse magnetic catalysis to magnetic catalysis.

Contribution

It introduces a novel dynamical holographic model that couples magnetic fields to quarkonium structure without charged flavor back-reaction, advancing understanding of magnetic effects in QCD-like theories.

Findings

Melting temperature depends on magnetic field strength.

Transition from inverse magnetic to magnetic catalysis observed.

Anisotropy effects due to external magnetic field discussed.

Abstract

We generalize the potential reconstruction method to set up a dynamical Einstein-Born-Infeld-dilaton model, which we then use to study holographic quarkonium melting in an external magnetic field. The non-linear nature of the model allows to couple the magnetic field to the quarkonium inner structure without having to introduce back-reacting charged flavour degrees of freedom. The magnetic field dependent melting temperature is computed from the spectral functions and suggests a switch from inverse magnetic to magnetic catalysis when the magnetic field increases. We also discuss the differences due to the anisotropy brought in by the external field.