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

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.

References in corpus (8)

• The three-loop QCD $\beta$-function and anomalous dimensions
• Supersymmetric Grand Unified Theories: Two Loop Evolution of Gauge and Yukawa Couplings
• Optimization of R(e+e-) and "Freezing" of the QCD Couplant at Low Energies
• QCD Perturbation Theory at Low Energies
• Gauge-Yukawa Unification in Asymptotically Non-free Theories
• Nontriviality of Gauge-Higgs-Yukawa System and Renormalizability of Gauged NJL Model
• Renormalization in the Gauged Nambu--Jona-Lasinio Model
• Quantum chromodynamics with various number of flavors

Cited by in corpus (4)

• Infrared Behaviour of Softly Broken SQCD and Its Dual
• Sfermion masses in Nelson-Strassler type of models: SUSY standard models coupled with SCFTs
• Dualities in all order finite N=1 gauge theories
• Reduction of Dual Theories