Eikonal field theory production of interacting Pomerons

Abstract

Starting from an underlying field theory in eikonal approximation, interacting Pomerons are produced by retaining those Feynman graphs that correspond to self-energy and related radiative corrections. Multiple-Reggeon $t$-channel thresholds may be viewed in a simple $s$-channel field theory framework, while the degree of $s$-channel unitarity required depends upon the spin content of the underlying field theory and the classes of permitted processes. An approximate eikonal calculation suggests how restricted triple-Pomeron interactions can serve to remove the bare Pomeron, and substitute an alternate asymptotic expression for ${\ensuremath{\sigma}}_{\mathrm{tot}}$.