PT Symmetry and Renormalization in a Pomeron Model

Abstract

A novel perturbative analysis for the 2+1 local supercritical field theory of pomerons is developed. It is based on the PT symmetry of the model which allows to study a similar Hamiltonian with the same real perturbative spectrum. In the lowest non trivial order of perturbation theory the pomeron interactions are shown to lead to the renormalization of the slope. The appearance of a non local interaction for two pomeron states is such that at small coupling only scattering states are present and the spectrum of two particle states is not affected.