The BFKL Pomeron Calculus: Probabilistic Interpretation and High Energy Amplitude

Abstract

In this paper we continue to pursue a goal of finding the effective theory for high energy interaction in QCD based on the colour dipole approach, for which the BFKL Pomeron Calculus gives a low energy limit. The two key problems, that we consider are the following: the probabilistic interpretation of the BFKL Pomeron Calculus and the possible scenario for the asymptotic behaviour of the scattering amplitude at high energy in QCD. In this paper we show that the generating functional approach is equivalent to the BFKL Pomeron Calculus and leads to a clear interpretation of this calculus as an alternative description of the system of interacting colourless dipoles. We calculated the two BFKL Pomerons into one BFKL Pomeron vertex directly in the dipole approach and show that this merging can be described as the decay of two dipoles into four dipoles in the dipole approach. This result means the JIMWLK approach can give us all neeeded vertices for the BFKL Pomeron calculus and, therefore, they together give the selfconsistent and complete theoretical approach to high energy scattering in QCD.