Experimental tests for the equality of gluon-gluon and quark-gluon coupling on resonance in e$^{+}$e$^{-}$ annihilation

The author discusses how observation of charmed multiplicities (N/sub c/) and correlations (N/sub c//sup 2/), generated on resonance in e /sup +/e/sup -/ annihilation, can give evidence for or against the existence of the gluon self-coupling and also determine its size. The calculations, based on the leading log approach, are performed in (i) QCD, where allowance is also made for fixed point coupling, and (ii) in a quark-gluon theory with no fluoron self-coupling. It is stressed that such measurements bear on the question of whether the underlying theory exhibits a non-Abelian gauge structure. (6 refs).