Hierarchy of Interactions in Unified Gauge Theories

Abstract

We present a general formalism for calculating the renormalization effects which make strong interactions strong in simple gauge theories of strong, electromagnetic, and weak interactions. In an SU(5) model the superheavy gauge bosons arising in the spontaneous breakdown to observed interactions have mass perhaps as large as ${10}^{17}$ GeV, almost the Planck mass. Mixing-angle predictions are substantially modified.