Predictions of a Theory of Quark Confinement

Abstract

A theory of quark confinement is proposed which uses only the simplest of approximations. It explains persistence of quark confinement in Yang-Mills theories with gauge group SU(2) or SU(3) as a consequence of asymptotic freedom in perturbation theory and of the known phase structure of $Z\left(2\right)\mathrm{}$ and $Z\left(3\right)\mathrm{}$ lattice gauge theory. Predictions are derived which can in principle be tested by computer simulation. Some are already tested by results of Creutz. They are in good agreement.