动力学破缺和真空自发破缺的手征SU(2)_L×SU(2)_R×U(1)σ模型

SU(2)_L×SU(2)_R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking

将SU( 2 ) L×SU( 2 ) R 手征对称的σ模型推广到带电磁场情况下的手征σ模型 ,采用研究自恰性方程的方法研究了同时具有动力学破缺和真空自发破缺的手征SU( 2 ) L×SU( 2 ) R×U( 1 )σ模型 ,得到了考虑动力学自发破缺、真空自发破缺和电磁相互作用后 ,σ、π介子和核子都出现了不同的质量修正 ,并得到此模型中σ。

The SU(2) L×SU(2) R σ-model was extended to a SU(2) L×SU(2) R×U(1)σ-model with electromagnetic interaction. The chiral SU(2) L×SU(2) R×U(1)σ-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, σ, π 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 σ, π 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.