Holographic RG and Cosmology in Theories with Quasi-Localized Gravity

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  • 10 March 2000
Abstract
We study the long distance behaviour of brane theories with quasi-localized gravity. The effective theory at large scales follows from the conjectured holographic renormalization group flow. As intuitively expected, the theory is four dimensional at intermediate scales and becomes five dimensional at large scales. The ``brane bending'' contribution to the bare graviton propagator at long distances decouples due to the RG running and does not give rise to ``scalar anti-gravity''. This analysis therefore completes the picture of theories with quasi-localized gravity and shows that the model is well behaved at all length scales. We find that the cosmology at ultra-large distances coincides with that of a tensionless brane in five-dimensional Minkowski space, which implies that the expansion rate decelerates at ultra-large distances. To avoid conflict with the observed expansion of the Universe, the scale at which the theory becomes five dimensional must be larger than the size of the visible Universe.

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