Confining gauge theories and holographic entanglement entropy with a magnetic field

TL;DR

This paper investigates how a constant magnetic field affects the confinement-deconfinement transition in a holographic model of gauge theories, using entanglement entropy as an anisotropic diagnostic tool.

Contribution

It introduces the study of magnetic field effects on confinement using entanglement entropy within a soft wall holographic model, highlighting anisotropic influences.

Findings

Magnetic field induces anisotropy in the entanglement entropy results.

The orientation of the entangling strip relative to the magnetic field affects the phase structure.

Entanglement entropy reveals a richer interplay between confinement and magnetic fields than traditional order parameters.

Abstract

We consider the soft wall model for a heuristic holographical modelling of a confining gauge theory and discuss how the introduction of a (constant) magnetic field influences the (de)confinement phase structure. We use the entanglement entropy as a diagnostic tool in terms of the length of an entangling strip geometry. Due to the anisotropy introduced by the magnetic field, we find that the results depend on the orientation of the strip relative to the field. This allows to identify a richer, anisotropic, interplay between confinement and a magnetic field than possibly can be extracted from a more standard order parameter as, for example, the Polyakov loop expectation value.