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Toy models of interacting Pomerons with triple and quaternary Pomeronvertices in zero transverse dimension are investigated. Numerical solutions foreigenvalues and eigenfunctions of the corresponding Hamiltonians are obtained,providing the quantum solution for the scattering amplitude in both models. Theequations of motion for the Lagrangians of the theories are also considered andthe classical solutions of the equations are found. Full two-point Greenfunctions ("effective" Pomeron propagator) and amplitude of diffractivedissociation process are calculated in the framework of RFT-0 approach. Theimportance of the loops contribution in the amplitude at different values ofthe model parameters is discussed as well as the difference between the modelswith and without quaternary Pomeron vertex.

Regge Field Theory in zero transverse dimensions: loops versus "net" diagrams