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

  • 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.
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WANG Shu-Zhong and HUANG Yong-Chang. SU(2)L×SU(2)R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking[J]. Chinese Physics C, 2001, 25(12): 1152-1157.
WANG Shu-Zhong and HUANG Yong-Chang. SU(2)L×SU(2)R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking[J]. Chinese Physics C, 2001, 25(12): 1152-1157. shu
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Received: 2001-03-12
Revised: 1900-01-01
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SU(2)L×SU(2)R×U(1) σ-Model with Both Dynamical Breaking andVacuum Spontaneous Symmetry Breaking

    Corresponding author: WANG Shu-Zhong,
  • Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, China

Abstract: 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.

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