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On the Quintessence with Abelian and Non-abelian Symmetry

Xin-zhou Li·Jian-gang Hao·Dao-jun Liu·Xiang-hua Zhai
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Abstract

We study the perturbations on both "radial" and "angular" components of the quintessence with an internal abelian and non-abelian symmetry. The properties of the perturbation on the "radial" component depend on the specific potential of the model and is similiar for both abelian and non-abelian case. We show that the consine-type potential is very interesting for the O(\textit{N}) quintessence model and also give a critical condition of instability for the potential. While the properties of perturbations on "angular" components depend on whether the internal symmetry is abelian or non-abelian, which we have discussed respectively. In the non-abelian case, the fluctuation of the "angular" component will increase rapidly with time while in the abelian case it will not.

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Xin-zhou Li, Jian-gang Hao, Dao-jun Liu, Xiang-hua Zhai. 2003-08-18. On the Quintessence with Abelian and Non-abelian Symmetry. https://doi.org/10.1142/s0217751x0301601x

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