NONTRIVIAL ASYMPTOTICALLY NONFREE GAUGE-THEORIES AND DYNAMICAL UNIFICATION OF COUPLINGS

Evidence for the nontriviality of asymptotically nonfree (ANF) Yang-Mi lls theories is found on the basis of optimized perturbation theory. I t is argued that these theories with matter couplings can be made nont rivial by means of the reduction of couplings, leading to the idea of the dynamical unification of couplings (DUC). The second-order reducti on of couplings in the ANF SU(3)-gauged Higgs-Yukawa theory, which is assumed to be nontrivial here, is carried out to motivate independent investigations on its nontriviality and DUC.