Electrostatics of Pagels-Tomboulis effective model

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.