  The bilocal electric field strength correlators in Abelian-projected SU(2)-
and SU(3)-theories are derived with accounting for the contributions to these
quantities brought about by the virtual vortex loops, built out of the dual
Nielsen-Olesen strings. Owing to the screening of magnetic charge of the dual
vector bosons in the gas of such loops, these bosons become heavier, which
leads to the respective change of the correlation length of the vacuum in the
models under study. Besides that, it turns out that such a screening leads also
to the appearance of the long-range contribution to one of the two coefficient
functions, which parametrize the bilocal correlator within the Stochastic
Vacuum Model. Finally, the modifications of the propagators of the dual vector
bosons, inspired by the correlation effects in the gas of vortex loops, are
also discussed.
