Magnetic Field Transfer From A Hidden Sector
  Primordial magnetic fields in the dark sector can be transferred to magnetic
fields in the visible sector due to a gauge kinetic mixing term. We show that
the transfer occurs when the evolution of magnetic fields is dominated by
dissipation due to finite electric conductivity, and does not occur at later
times if the magnetic fields evolve according to magnetohydrodynamics scaling
laws. The efficiency of the transfer is suppressed by not only the gauge
kinetic mixing coupling but also the ratio between the large electric
conductivity and the typical momentum of the magnetic fields. We find that the
transfer gives nonzero visible magnetic fields today. However, without possible
dynamo amplifications, the field transfer is not efficient enough to obtain the
intergalactic magnetic fields suggested by the gamma-ray observations, although
there are plenty of possibilities for efficient dark magnetogenesis, which are
experimentally unconstrained.
