  Long time ago Pagels and Tomboulis have proposed a model for the
nonperturbative gluodynamics which in the Abelian sector can be reduced to a
strongly nonlinear electrodynamics. In the present paper we investigate
Abelian, static solutions with external charges in that model. Nonzero total
charge implies that the corresponding field has infinite energy due to slow
fall off at large distances. For a pair of opposite charges the energy is
finite -- it grows like $R^{\alpha}$, $0<\alpha <1$ with the distance $R$
between the charges.
