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Chinese Physics C> 2001, Vol. 25> Issue(12) : 1152-1157 

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

  •  Department of Applied Physics, Beijing Polytechnic University, Beijing 100022, China

  • 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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  • References

    [1] . Acciarri M ,Achard P ,Adriani O et al.Phys.Lett.,2000,B489:115—124. 2. Weinberg S .Phys.Rev.Lett.,1967,19:1624;Salam A .Weak and Electromagnetic Interactions.In:Edited by N .Svartholm Elementary Particle Theory.Almqvist and Wiksell,Stockholm,1968 3. Jackiw R ,Johnson K .Phys.Rev.,1973,D8:2386—2400. 4. Deser S ,Jackiw R ,Templeton S.Ann.Phys.,1982,140:372—411. 5. Holdom B .Phys.Rev.,1981,D24:157—166. 6. Susskind L .Phys.Rev.,1979,D20:2619—2625. 7. Nambu Y ,JonaLasino G .Phys.Rev.,1961,122:345—358;124:246—254. 8. SHEN Kun,QIU ZhongPing.High Energy Physics and Nuclear Physics1989,13(8):755—759(in Chinese)(沈坤,裘仲平.高能物理与核物理,1989,13(8):755—759)9. LIU BaoHua,LI JiaRong.Phys.Rev.,1988,D37:190—19410. Lurie D .Particles and Fields.England:John Wiley Sons.Inc. Bristel.1968.181—183;473—476 11. Claude Itzykson,Jean Bernard Zuber.Quantum Field Theory.Mcgraw Hill International Book Company,1980.540—54312. David J.Gross.Andre Neveu.Phys.Rev.,1974,D10:3235—3253

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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
  • Received Date: 2001-03-12
  • Accepted Date: 1900-01-01
  • Available Online: 2001-12-05

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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