  The consequences of the vacuum polarization effect in magnetic fields around
a Schwarzschild Black Hole on the motion of charged particles are investigated
in this work. Using the weak electromagnetic field approximation, we discuss
the non-minimal coupling between magnetic fields and gravity caused by the
vacuum polarization and study the equations of motion for the case of a
magnetic field configuration which asymptotically approaches a dipole magnetic
field. It is shown that the presence of non-minimal coupling can significantly
influence the motion of charged particles around Black Holes. In particular,
the vacuum polarization effect, leading to strong amplification or suppression
of the magnetic field strength around the event horizon (depending on the sign
of the coupling parameter), can affect the scattering angle and minimal
distance for the electrons moving in the gravitational field of the Black Hole
as well as the dependence of these parameters on the asymptotic magnetic field
strength, initial distance and the Black Hole mass. It is further demonstrated
that the non-minimal coupling between gravity and astrophysical magnetic
fields, caused by the vacuum polarization, can cause significant changes of the
parameter space corresponding to bound trajectories around the Black Hole. In
certain cases, the bounded or unbounded character of a trajectory is determined
solely by the presence of non-minimal coupling and its strength. These effects
could in principle be used as observational signatures of the vacuum
polarization effect and also to constrain the value of the coupling parameter.
