An SU(3) Unified Model Of Electroweak Interaction Using Generalized Yang-Mills Theory

The Glashow-Weinberg-Salam model is a very successful theory for describe electroweak interaction,and it fits well with the experimental results within the energy range currently achievable.However,the model has still some unsatisfactory points.Obviously,the model has too many parameters and the natural problem of the Higgs mechanism.At the same time,the new experimental findings confirm that the masses of neutrino are not null,and the existence of dark matter also shows that it is necessary to overcome the problems at the standard model.In order to improve the model,many scholars have made efforts.Generalizing Yang-Mills theory and applying it to electroweak unified theory is one of many attempts.The covariant derivative in the generalized Yang-Mills theory,besides the vector field,can contain a scalar field.Based on this theory,we construct an SU(3)electroweak unified model.Under the requirement of gauge invariance,the vector field and the scalar field are introduced into the model as the gauge field Using a special implementation of the SU(3)algebra,the interactions and quantum numbers of the particles we obtained are the same as the Glashow-Weinberg-Salam model.Since the generalized Yang-Mills theory does not include Higgs potential energy term,which means that the symmetry spontaneous breaking and Higgs mechanism cannot be applied directly.However,this paper applies the dynamic breaking NJL mechanism to realize the breaking of the gauge symmetry and obtain the masses of various particles are the same as the Glashow-Weinberg-Salam model.Finally,by using the virtual-time Green’s function at finite temperature,the critical temperature at which the gauge symmetry of the Lagrangian is restored can be obtain.Comparing to the Glashow-Weinberg-Salam model,the present paper has several advantages:(1)Since SU(3)group is selected as the gauge group,there is only one gauge coupling constant in the model,and the two interactions of electroweak achieve a true unity.(2)Weinberg angle can be obtained directly.(3)The combination of the generalized Yang-Mills theory and the NJL mechanism makes the introduction of the scalar field natural and avoids the natural problem of the Higgs mechanism.(4)In the model,the Yukawa term of interaction between electron(including muon,tauon)and Higgs field is inherent,which has obvious advantage over the artificial introduction of this term in the Glashow-Weinberg-Salam model.