Strong Interactions and Stability in the DGP Model

Details Strong Interactions and Stability in the DGP Model Strong Interactions and Stability in the DGP Model

2003-03-12

arxiv.org/abs/hep-th/0303116v1

JHEP 0309:029,2003

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTeX2e, no figures

Scientific paper

10.1088/1126-6708/2003/09/029

The model of Dvali, Gabadadze, and Porrati (DGP) gives a simple geometrical setup in which gravity becomes 5-dimensional at distances larger than a length scale \lambda_{DGP}. We show that this theory has strong interactions at a length scale \lambda_3 ~ (\lambda_{DGP}^2 / M_P)^{1/3}. If \lambda_{DGP} is of order the Hubble length, then the theory loses predictivity at distances shorter than \lambda_3 ~ 1000 km. The strong interaction can be viewed as arising from a longitudinal `eaten Goldstone' mode that gets a small kinetic term only from mixing with transverse graviton polarizations, analogous to the case of massive gravity. We also present a negative-energy classical solution, which can be avoided by cutting off the theory at the same scale scale \lambda_3. Finally, we examine the dynamics of the longitudinal Goldstone mode when the background geometry is curved.

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