Non-Abelian Gauge Theories of the Strong Interactions

Abstract

A class of non-Abelian gauge theories of strong interactions is described, for which parity and strangeness are automatically conserved, and for which the nonconservations of parity and strangeness produced by weak interactions are automatically of order $\frac{\ensuremath{\alpha}}{{{m}_{W}}^{2}}$ rather than of order $\ensuremath{\alpha}$. When such theories are "asymptotically free," the order-$\ensuremath{\alpha}$ weak corrections to natural zeroth-order symmetries may be calculated ignoring all effects of strong interactions. Speculations are offered on a possible theory of quarks.