SU(2)LxSU(2)RxU(1) σ-model with both dynamical breaking and vacuum spontaneous symmetry breaking

The SU(2)(L) x SU(2)(R) sigma -model was extended to a SU(2)(L) x SU(2)(R) x U(1) sigma -model with electromagnetic interaction. The chiral SU(2)(L) x SU(2)(R) x U(1) sigma -model with both dynamical breaking and vacuum spontaneous symmetry breaking is investigated by means of the Consistent Equation. It is obtained that when considering dynamical breaking and vacuum spontaneous symmetry breaking and electromagnetic interaction in different cases, sigma, pi and nucleon have different mass amendments, and the concrete representation forms depending on dynamical symmetry breaking in different ways are abtained for the mass generation of sigma, pi and nucleon. The equivalences of fundamental scalar fields and composed scalar fields are proved. This paper gives a base of constructing the unified weak-electromagnetic model based on dynamical breaking and vacuum spontaneous symmetry breaking.