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

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.

34 pages, 17 figures, a minor change in the abstract, the earlier version had an error in the computation of the melting temperature which is corrected now, references added, published version