Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-11-02
JHEP 0406 (2004) 023
Physics
High Energy Physics
High Energy Physics - Theory
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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