A field-theoretic study of the Regge-eikonal model. I

The Regge-eikonal model in phi3 field theory is studied within the framework of Gribov's reggeon calculus. A condition is derived that indicates what sort of multi-reggeon exchange diagrams are important for large energies, and it is shown that the eikonal form is valid only in the weak-coupling limit, i.e., when the inner coupling constant of the reggeons goes to zero: g2approx.1/ln s. The breakdown of the eikonal approximation outside of this limit is shown to be an effect of inelastic intermediate states