Cosmological Constant of the $(p+1)$-Dimensional World, Embedded in the $d$-Dimensional Bulk Space

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages, Latex, No figure. In the revised version, major changes have been introduced and also references have been added

Scientific paper

10.1007/s10773-007-9593-x

In this manuscript we study the cosmological constant of a $(p+1)$-dimensional world, which lives in the higher dimensional bulk space. We assume the extra dimensions are compact on tori. We consider two cases: positive and negative bulk cosmological constant. It is pointed out that the tiny cosmological constant of our world can be obtained by the dynamics of a scalar field and adjusting the parameters of the model. The cosmological constant of the dual world also will be discussed. We obtain the Dirac quantization of these cosmological constants.

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