An approach to the gluon saturation is discussed within a framework of interacting QCD pomeron field theory. The formulation is consistent with Lorentz invariance which guarantees that the symmetry between the target and the projectile of the scattering matrix is preserved. The dynamics of interacting pomeron system is studied in the semi-classical approximation. Solutions to the emerging classical equations of motion (Braun equations) are presented. Two unexpected features of these solutions are found: a break-down of the symmetry between the target and the projectile and their similarity to solutions of the Balitsky--Kovchegov equation. Interpretation of the results is given and possible consequences are shortly discussed.

PACS numbers: 24.80.+y, 24.85.+p, 11.80.La