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arXiv · hep-th/0311006

Scalar potential from de Sitter brane in 5D and effective cosmological constant

Masato Ito
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Abstract

We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant $Λ$. The scalar potential for a scalar field canonically normalized is given by the sum of exponential potentials. In the case of $Λ=0$ and $Λ>0$, we point out that the scalar potential has an unstable local maximum at the origin and exponentially vanishes for large positive scalar field. In the case of $Λ<0$, the scalar potential has an unstable local maximum at the origin and a stable local minimum, it is shown that the positive cosmological constant in brane is reduced by negative potential energy of scalar at minimum.

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Masato Ito. 2004-06-01. Scalar potential from de Sitter brane in 5D and effective cosmological constant. https://doi.org/10.1088/1126-6708%2F2004%2F06%2F023

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