Connection between Regge-Pole Parameters and Local Commutation Relations

Abstract

A modification of the Fubini sum rules of current algebra is proposed. It is based upon the necessity of some amplitudes to obey subtracted dispersion relations. The proposed sum rules are studied and shown to be consistent both with the requirements of current algebra and those of Regge asymptotics. Using these results, a connection is found between Regge trajectories and the structure of the algebra. The experimental implications are discussed. Finally, high-energy quark-model results are derived by this method using Regge theory and the Gell-Mann algebra of weak currents.