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Exponentially Large Extra Dimensions

A. Albrecht·C. P. Burgess·F. Ravndal·C. Skordis
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Abstract

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, $r \sim \ell \exp [(4π)^3/g^2]$, 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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A. Albrecht, C. P. Burgess, F. Ravndal, C. Skordis. 2002-02-06. Exponentially Large Extra Dimensions. https://doi.org/10.1103/physrevd.65.123506

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