Probabilistic model of Reggeon Field Theory

Abstract

The stochastic model of classical system of particles (partons), which dynamics includes random walk in plane as well as processes of death, splitting, annihilation and fusion of partons, is considered. A set of equations for multiparticle distribution functions for this system can be described in terms of diagrams of the Reggeon Field Theory (RFT) with supercritical pomeron, where rapidity plays a role of the time variable. The multiparticle inclusive distributions of partons correspond to multi-pomeron states in this analogy. In order to calculate the amplitude of hadron interaction at given energy we define an operator of linkage of any pair of partons from two parton sets (the projectile and the target). The form of the hadron-interaction (parton-linkage) operator is determined from the requirement for the result to be in correspondence to the RFT formulas. It is shown that the requirement of Lorentz invariance of the amplitude is fulfilled in this interpretation only at definite relation between the probabilities of parton splitting, annihilation and fusion. Interpretation of various methods of s-channel unitarization is discussed in terms of the model.