Perturbation-Theoretical Integral Representation and the High-Energy Behavior of the Scattering Amplitude

Abstract

The high-energy behavior of the scattering amplitude is investigated in detail in the ladder approximation by means of the perturbation-theoretical integral representation. It is shown that this representation without subtraction is very useful and can describe the Regge behavior. The main results of the "multiperipheral model" are reproduced in this approach, and its connection with the Regge pole is clarified in an elegant way. It is also pointed out that we can by no means exclude the possibility of non-Regge behavior in the ladder approximation, at least within the present technique.