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Strong Interactions and Stability in the DGP Model

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arxiv hep-th/0303116 v1 pith:RCPR2BDG submitted 2003-03-12 hep-th

classification hep-th
keywords lambdascalelengthstrongtheorydistancesgoldstonegravity
verification ladder T0 review T1 audit T2 compute T3 formal
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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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Cited by 6 Pith papers

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