e+e−Annihilation in Gauge Theories of Strong Interactions

Abstract

We discuss the behavior of the $e^{+}{e}^{-}$ total annihilation cross section into hadrons in a class of non-Abelian vector gluon theories. Using the quasi-free-field behavior of these theories in the deep Euclidean region, we show that the asymptotic behavior of ${\sigma }_{\mathrm{tot}}^{e^{+}{e}^{-}}$ is that of the parton model. Nonleading corrections fall off relative to this leading term like inverse powers of logarithms with calculable coefficients. The problem of making more detailed statements about the final state is discussed.