Representations of the Pomeron propagator

A general method for constructing explicit representations of the Pomeron propagator in the presence of several dimensionless parameters is developed. Three cases are presented: the introduction in the bare Pomeron of a cutoff in $k^2$, the calculation of the angular distribution for elastic scattering, and the investigation of the behavior of the total cross section when the intercept of the renormalized Pomeron is less than unity. It is found that in the one-loop approximation a perturbation expansion of the Pomeron propagator in powers of the bare triple-Pomeron coupling constant is valid at intermediate energies, provided that the intercept shift is evaluated nonperturbatively. It is also found that the first-order correction to the asymptotic behavior of the angular distribution for elastic scattering is fairly small.