  We consider fermions in the field of static monopole-like configurations in
the Euclidean space-time. In all the cases considered there exists an infinite
number of zero modes, labeled by frequency i\omega. The existence of such modes
is a manifestation of instability of the vacuum in the presence of the
monopoles and massless fermions. In the Minkowski space the corresponding
phenomenon is well known and is a cornerstone of the theory of the magnetic
catalysis. Moreover, the well known zero mode of Jackiw and Rebbi corresponds
to the limiting case, \omega = 0. We provide arguments why the chiral
condensate could be linked to the density of the monopoles in the infrared
cluster. A mechanism which can naturally explain the equivalence of the
critical temperatures for the deconfinement and chiral transitions, is
proposed. We discuss possible implications for the phenomenology of the lattice
monopoles.
