Quantum weakdynamics as an $SU(3)_I$ gauge theory: Grand unification of strong and electroweak interactions

Abstract

Quantum weakdynamics (QWD) as an $SU(3)_I$ gauge theory with the $\Theta$ vacuum term is considered to be the unification of the electroweak interaction as an $SU(2)_{\mathrm{L}} \times U(1)_Y$ gauge theory. The grand unification of $SU(3)_I \times SU(3)_C$ beyond the standard model $SU(3)_C \times SU(2)_{\mathrm{L}} \times U(1)_Y$ is established by the group $SU(3)_I$ . The grand unified interactions break down to weak and strong interactions at a new grand unification scale, $10^3$ GeV, through dynamical spontaneous symmetry breaking (DSSB); the weak and strong coupling constants are the same, $\alpha_i = \alpha_{\mathrm{s}} \simeq 0.12$ , at this scale. DSSB is realized by the condensation of scalar fields, postulated to be spatially longitudinal components of gauge bosons, instead of Higgs particles. Quark and lepton family generation, the Weinberg angle $\sin^2 \theta_{\mathrm{W}} = 1/4$ , and the Cabbibo angle $\sin \theta_{\mathrm{C}} = 1/4$ are predicted. The electroweak coupling constants are $\alpha_z = \alpha_i/3$ , $\alpha_{\mathrm{w}} = \alpha_i/4$ , $\alpha_y = \alpha_i/12$ , and $\alpha_e = \alpha_i/16 \simeq 1/137$ ; there are symmetric isospin interactions.