  In this talk, various approaches to the problem of evaluation of the field
strength correlators in the SU(3)-gluodynamics, which play the major role in
the Stochastic Vacuum Model, are reviewed. This is done in the framework of the
effective Abelian-projected theories under the various assumptions implied on
the properties of the ensemble of Abelian-projected monopoles. In particular,
within the assumption on the condensation of the monopole Cooper pairs, the
main method of investigation is the string representation of field strength
correlators. The calculation of the bilocal field strength correlator in the 3D
effective theory, where Abelian-projected monopoles are assumed to form a gas,
based on the string representation for the Wilson loop in this theory, is also
presented.
