Holographic renormalization group and cosmology in theories with quasilocalized gravity - art. no. 065019

We study the long distance behavior of brane theories with quasilocalized g ravity. The five-dimensional (5D) effective theory at large scales follows from a holographic renormalization group flow. As intuitively expected, the graviton is effectively four dimensional at intermediate scales and become s five dimensional at large scales. However, in the holographic effective t heory the essentially 4D radion dominates at long distances and gives rise to scalar antigravity. The holographic description shows that at large dist ances the Gregory-Rubakov-Sibiryakov (GRS) model is equivalent to the model recently proposed by Dvali, Gabadadze, and Porrati (DGP), where a tensionl ess brane is embedded into 5D Minkowski space, with an additional induced 4 D Einstein-Hilbert term on the brane. In the holographic description the ra dion of the GRS model is automatically localized on the tensionless brane, and provides the ghostlike field necessary to cancel the extra graviton pol arization of the DGP model. Thus, there is a holographic duality between th ese theories. This analysis provides physical insight into how the GRS mode l works at intermediate scales; in particular it sheds light on the size of the width of the graviton resonance, and also demonstrates how the hologra phic renormalization group can be used as a practical tool for calculations .