Broken Symmetry Sum Rules and the Algebra of Currents. II

Abstract

An analysis of current-algebra methods of deriving broken SU(3) sum rules for three-point coupling constants initiated in a previous paper is expanded and concluded. It is shown quite definitely that current algebra does not intrinsically provide more information than is present in conventional group-theoretical derivations. In so doing, we rederive broken SU(3) sum rules for both strong-and weak-interaction coupling constants. In addition consistency conditions in the form of first order, broken SU(3) sum rules for partially conserved axial-vector current and partially conserved tensor current proportionality constants are found.