  The elegant instanton calculus of Lipatov and others used to find
factorially-divergent behavior (g^N * N!) for N*g >> 1 in g*phi^4 perturbation
theory is strictly only applicable when all external momenta vanish; a
description of high-energy 2 --> N scattering with N massive particles is
beyond the scope of such techniques. On the other hand, a standard
multiperipheral treatment of scattering with its emphasis on leading logarithms
gives a reasonable picture of high-energy behavior but does not result in
factorial divergences. Using a straightforward graphical analysis we present a
unified picture of both these phenomena as they occur in the two-particle total
cross section of g*phi^4 theory. We do not attempt to tame the unitarity
violations associated with either multiperipheralism or the Lipatov technique.
