Exponentially Large Extra Dimensions

Details Exponentially Large Extra Dimensions Exponentially Large Extra Dimensions

2001-05-28

arxiv.org/abs/hep-th/0105261v3

Phys.Rev.D65:123506,2002

Physics

High Energy Physics

High Energy Physics - Theory

15 Pages including 1 figure. V3: Final version accepted for publication in PRD. This version has an improved discussion (in se

Scientific paper

10.1103/PhysRevD.65.123506

We show how the presence of a very light scalar with a cubic self-interaction in six dimensions can stabilize the extra dimensions at radii which are naturally exponentially large, $r \sim \ell \exp [(4\pi)^3/g^2]$, where $\ell$ is a microscopic physics scale and $g$ is the (dimensionless) cubic coupling constant. The resulting radion mode of the metric becomes a very light degree of freedom whose mass, $m \sim 1/(M_p r^2)$ is stable under radiative corrections. For $1/r \sim 10^{-3}$ eV the radion is extremely light, $m \sim 10^{-33}$ eV. Its couplings cause important deviations from General Relativity in the very early universe, but naturally evolve to phenomenologically acceptable values at present.

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