中国物理B ›› 2007, Vol. 16 ›› Issue (12): 3560-3565.doi: 10.1088/1009-1963/16/12/002

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The double Lagrangian with U(1, J) symmetry and its applications to the cosmology

吴亚波, 吕剑波, 贺 敬, 付明慧   

  1. Department of Physics, Liaoning Normal University, Dalian 116029, China
  • 出版日期:2007-12-20 发布日期:2007-12-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No~10475036) and the Scientific Research Foundation of the Higher Education Institute of Liaoning Province under (Grant No~05L215).

The double Lagrangian with U(1, J) symmetry and its applications to the cosmology

Wu Ya-Bo(吴亚波)†, Lü Jian-Bo(吕剑波), He Jing(贺敬), and Fu Ming-Hui(付明慧)   

  1. Department of Physics, Liaoning Normal University, Dalian 116029, China
  • Online:2007-12-20 Published:2007-12-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No~10475036) and the Scientific Research Foundation of the Higher Education Institute of Liaoning Province under (Grant No~05L215).

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摘要： By introducing the double complex scalar field, this paper constructs the double Lagrangian with the potential $V({\it\Phi}(J), {\it\Phi}^{*}(J))=V(|{\it\Phi}(J)|)$, which not only can describe the evolution of quintom Universe, but also can naturally give the spintessence and hessence Universe. Furthermore, the $U(1,J)$ symmetry of the double complex Lagrangian is verified, and the total conserved charge within the physical volume is derived by means of the No\"{e}ther theorem. Moreover, it can point out that the `imaginary motion' of the angular parameter in Ref.[14], in fact, is only a real phase displacement in our model.

关键词: double Lagrangian density, canonical scalar field, dark energy

Abstract: By introducing the double complex scalar field, this paper constructs the double Lagrangian with the potential $V({\it\Phi}(J), {\it\Phi}^{*}(J))=V(|{\it\Phi}(J)|)$, which not only can describe the evolution of quintom Universe, but also can naturally give the spintessence and hessence Universe. Furthermore, the $U(1,J)$ symmetry of the double complex Lagrangian is verified, and the total conserved charge within the physical volume is derived by means of the No?ther theorem. Moreover, it can point out that the `imaginary motion' of the angular parameter in Ref.[14], in fact, is only a real phase displacement in our model.

Key words: double Lagrangian density, canonical scalar field, dark energy

中图分类号:  (Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))

  • 98.80.Cq
11.10.Ef (Lagrangian and Hamiltonian approach) 95.36.+x (Dark energy)