  We consider two-dimensional degenerate electron gas in the presence of
perpendicular random magnetic field. The magnetic field disorder which is
assumed to be gaussian is characterized by two parameters. The first is
proportional to the amplitude of local magnetic field fluctuations. The second
one characterizes the disorder on the longer scale - we call it the screening
length. Using Kubo formula for the conductivity we have found a class of
diagrams which leads to the long time tails in the current - current
correlation function. For short times comparing to the diffusion time
corresponding to the screening length this function behaves like logarithm of
time, for longer times it decays like $t^{-1}$ what of course puts in question
the diffusive character of the behavior of the charged particle in random
magnetic field widely assumed in the literature.
