| The double Lagrangian its applications with U（1, J） symmetry and to the cosmology |
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| 引用本文： | 吴亚波,吕剑波,贺 敬,付明慧. The double Lagrangian its applications with U（1, J） symmetry and to the cosmology[J]. 中国物理, 2007, 16(12): 3560-3565 |
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| 作者姓名： | 吴亚波 吕剑波 贺 敬 付明慧 |
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| 作者单位： | Department of Physics,Liaoning Normal University, Dalian 116029, China;Department of Physics,Liaoning Normal University, Dalian 116029, China;Department of Physics,Liaoning Normal University, Dalian 116029, China;Department of Physics,Liaoning Normal University, Dalian 116029, China |
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| 基金项目： | Project supported by the National Natural ScienceFoundation of China (Grant No~10475036) and the ScientificResearch Foundation of the Higher Education Institute of LiaoningProvince 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（Ф（J）,Ф（J）） = V（│Ф（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 Norther 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.
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| 关 键 词： | 宇宙论 微观结构 拉格朗日 纯量场 |
| 文章编号： | 1009-1963/2007/16（12）/3560-06 |
| 收稿时间： | 2006-12-04 |
| 修稿时间： | 2007-03-20 |
The double Lagrangian with U(1, J) symmetry and its applications to the cosmology |
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| Wu Ya-Bo,Lü Jian-Bo,He Jing,Fu Ming-Hui. The double Lagrangian with U(1, J) symmetry and its applications to the cosmology[J]. Chinese Physics, 2007, 16(12): 3560-3565 |
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| Authors: | Wu Ya-Bo Lü Jian-Bo He Jing Fu Ming-Hui |
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| Affiliation: | Department of Physics,Liaoning Normal University, Dalian 116029, China |
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| Abstract: | By introducing the double complex scalar field, this paper constructsthe double Lagrangian with the potential $V({itPhi}(J),{itPhi}^{*}(J))=V(|{itPhi}(J)|)$, which not only can describe theevolution of quintom Universe, but also can naturally give thespintessence and hessence Universe. Furthermore, the $U(1,J)$symmetry of the double complex Lagrangian is verified, and the totalconserved charge within the physical volume is derived by means ofthe 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 inour model. |
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| Keywords: | double Lagrangian density canonical scalarfield dark energy |
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