A Solution to the Hierarchy Problem with an Infinitely Large Extra Dimension and Moduli Stabilization

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  • 21 December 1999
Abstract
We construct a class of solutions to the Einstein's equations for dimensions greater than or equal to six. These solutions are characterized by a non-trivial warp factor and possess a non-compact extra dimension. We study in detail a simple model in six dimensions containing two four branes. One of each brane's four spatial directions is compactified. The hierarchy problem is resolved by the enormous difference between the warp factors at the positions of the two branes, with the standard model fields living on the brane with small warp factor. Both branes have positive tensions. Their positions, and the size of the compact dimension are fixed by the dynamics of general relativity and the contribution to the stress tensor from the zero point energy of quantum fields living on the branes. One overall fine tuning of the parameters of the theory is required ---that for the cosmological constant.

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