Confining gauge theories and holographic entanglement entropy with a magnetic field

Understand

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.