Current Algebra and Non-Regge Behavior of Weak Amplitudes. II

Abstract

Certain weak amplitudes exhibit non-Reggeistic behavior. These amplitudes have fixed poles in the complex angular-momentum plane which have the dual property of allowing a sum rule of the Dashen-Gell-Mann-Fubini type to hold, although one might naively expect a superconvergence relation for this amplitude, and insuring that spin-one particle poles are reproduced correctly in the left-hand side of the sum rule. We demonstrate the existence of the fixed pole directly by comparing the sum rule with the Froissart-Gribov continuation to the complex $J$ plane. We also study some models which exhibit this behavior.