Inelastic strong interactions at high energies. Annual progress report, June 1, 1977--May 31, 1978. [Summaries of research activities at the University of Cincinnati

Abstract

Certain classical solutions of the field equations, hereafter sectons, were shown to dominate inclusive and semi-inclusive cross sections which are proportional to the absolute square of the Fourier transform of these solutions in zeroth order of a model independent approximation scheme. Higher order approximations are obtained by the loop expansion method, or by a perturbation expansion around the classical solutions. Sectons were shown to be associated with nonvanishing values of two conserved topological quantum numbers (that vanish for solitons). An application to phi/sup 4/ field theory gave an inclusive cross section with Feynman scaling, a total cross section with a power dependence on the primary energy and a Poisson-like multiplicity distribution. An SU(2) invariant Reggeon field theory containing three reggeon multiplets, one with negative mass, was studied in the classical approximation with zero transverse dimensions. A solution was found, qualitatively similar to a solution of supercritical Pomeron theory, giving a constant local cross section and decreasing cross sections for quantum number exchanges. A method, that allows the calculation of critical parameters of a lattice based on the strong coupling expansion of the finite renormalization group equations, was worked out and shown to give excellent results for a two dimensional lattice.