Representations of Reggeon Green's functions: Their scaling form and the approach to scaling

Abstract
We derive representations for Green's functions in the Reggeon calculus. Our renormalization-group integration method gives the t dependence of the asymptotic scaling functions, as well as the correction terms which are present at nonasymptotic energies. The approach to the scaling form is governed by a critical exponent. The method can be used to calculate the scaling form and the approach to scaling of any ntom Reggeon Green's function. We discuss mainly the Pomeron propagator and the three-point function in the one-loop approximation.