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.Comment: 25 pages, 31 figure
