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.
Accepted manuscript online:
PACS:
98.80.Cq
(Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.))
Fund: 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).
Cite this article:
Wu Ya-Bo(吴亚波), Lü Jian-Bo(吕剑波), He Jing(贺敬), and Fu Ming-Hui(付明慧) The double Lagrangian with U(1, J) symmetry and its applications to the cosmology 2007 Chinese Physics 16 3560
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