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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, 5 figures, add the section of cosmological implications

Scientific paper

10.1088/1126-6708/2004/06/023

We derive the scalar potential in zero mode effective action arising from a de Sitter brane embedded in five dimensions with bulk cosmological constant $\Lambda$. The scalar potential for a scalar field canonically normalized is given by the sum of exponential potentials. In the case of $\Lambda=0$ and $\Lambda>0$, 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 $\Lambda<0$, 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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