Nontrivial, Asymptotically Non-free Gauge Theories and Dynamical Unification of Couplings

TL;DR

This paper provides evidence that certain asymptotically non-free Yang-Mills theories are nontrivial and proposes a framework for dynamical unification of couplings through reduction techniques, supported by specific model analysis.

Contribution

It introduces the concept of dynamical unification of couplings in ANF gauge theories and demonstrates a second-order reduction in an $SU(3)$-gauged Higgs-Yukawa model.

Findings

Evidence for nontriviality of ANF Yang-Mills theories

Reduction of couplings leads to dynamical unification

Analysis of $SU(3)$-gauged Higgs-Yukawa model supports the approach

Abstract

An evidence for nontriviality of asymptotically non-free (ANF) Yang-Mills theories is found on the basis of optimized perturbation theory. It is argued that these theories with matter couplings can be made nontrivial by means of the reduction of couplings, leading to the idea of dynamical unification of couplings (DUC) The second-order reduction 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.