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Particles and Fields


Eur. Phys. J. C 22, 359-377 (2001)
DOI: 10.1007/s100520100803

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

H.-S. Roh

BK21 Physics Research Division, Department of Physics, Sung Kyun Kwan University, Suwon 440-746, Republic of Korea

(Received: 21 January 2001 / Published online: 21 November 2001 - © Springer-Verlag / Società Italiana di Fisica 2001 )

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, 103 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.



© Società Italiana di Fisica, Springer-Verlag 2001