Current algebra sum rules for reggeons

Abstract

The interplay between the constraints of chiralSU2×SU2 symmetry and Regge asymptotic behaviour is investigated. We review the derivation of various current algebra sum rules in a study of the reaction π+α→π+β. These sum rules imply that all particles may be classified in multiplets ofSU2×SU2 and that each of these multiplets may contain linear combinations of an infinite number of physical states. Extending our study to the reaction π+α→π+π+β, we derive new sum rules involving commutators of the axial charge with the reggeon coupling matrices of the ρ and f Regge trajectories. Some applications of these new sum rules are noted, and the general utility of these and related sum rules is discussed.