Gravity Localization and Mass Hierarchy on Pure Geometric Thin Branes

Details Gravity Localization and Mass Hierarchy on Pure Geometric Thin Branes Gravity Localization and Mass Hierarchy on Pure Geometric Thin Branes

2011-08-27

arxiv.org/abs/1108.5436v1

Physics

High Energy Physics

High Energy Physics - Theory

22 pages, 15 figures

Scientific paper

We consider a simple toy model with flat thin branes embedded in a 5-dimensional Weyl integrable manifold, where the Weyl scalar provides the material to constitute the brane configurations. As we work with an $S^1/Z_2$ orbifold extra dimension, thin brane solutions which have two flat branes located at the two boundaries of the orbifold are found. Especially, we focus our attention on one of the solutions, whose warp factor is decreasing along the extra dimension like RS1 model, while its massless graviton is localized on the brane located at the boundary $z_b$ but not at the origin one. Further, the mass hierarchy problem is discussed based on this solution. Interestingly, we find that the spacing of mass spectrum in this scenario is very tiny, but the light gravitons cannot be seen individually in colliders for their weak enough interaction with matter on the visible brane.

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