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Massive gravity on a brane

Chacko, Z. and Graesser, M. L. and Grojean, C. and Pilo, L. (2004) Massive gravity on a brane. Physical Review D, 70 (8). Art. No. 084028. ISSN 2470-0010. doi:10.1103/PhysRevD.70.084028.

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At present no theory of a massive graviton is known that is consistent with experiments at both long and short distances. The problem is that consistency with long distance experiments requires the graviton mass to be very small. Such a small graviton mass however implies an ultraviolet cutoff for the theory at length scales far larger than the millimeter scale at which gravity has already been measured. In this paper we attempt to construct a model which avoids this problem. We consider a brane world setup in warped anti- de Sitter spacetime and we investigate the consequences of writing a mass term for the graviton on an infrared brane where the local cutoff is of order a large (galactic) distance scale. The advantage of this setup is that the low cutoff for physics on the infrared brane does not significantly affect the predictivity of the theory for observers localized on the ultraviolet brane. For such observers the predictions of this theory agree with general relativity at distances smaller than the infrared scale but go over to those of a theory of massive gravity at longer distances. A careful analysis of the graviton two-point function, however, reveals the presence of a ghost in the low energy spectrum. A mode decomposition of the higher dimensional theory reveals that the ghost corresponds to the radion field. We also investigate the theory with a brane-localized mass for the graviton on the ultraviolet brane, and show that the physics of this case is similar to that of a conventional four dimensional theory with a massive graviton, but with one important difference: when the infrared brane decouples and the would-be massive graviton gets heavier than the regular Kaluza-Klein modes, it becomes unstable and it has a finite width to decay off the brane into the continuum of Kaluza-Klein states.

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Additional Information:©2004 The American Physical Society (Received 17 February 2004; revised 6 July 2004; published 15 October 2004) We would like to thank Markus Luty, Jihad Mourad, and Mark Wise for useful discussions. Z. C. and M.G. would like to thank the hospitality of Saclay. M.G. and C.G. would like to thank the hospitality of Lawrence Berkeley National Laboratory. C.G. and L. P. thank the Aspen Center for Physics for its hospitality while part of this work was completed. The work of M.G. is supported by the U.S. Department of Energy under Contract No. DE-FG03-92-ER40701. C.G. and L. P. are supported in part by the RTN European Program HPRN-CT-2000-00148 and the ACI Jeunes Chercheurs 2068.
Subject Keywords:brane world; gravitons; gravitation; Kaluza-Klein theory; space-time configurations
Issue or Number:8
Record Number:CaltechAUTHORS:CHAprd04
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:1928
Deposited By: Archive Administrator
Deposited On:23 Feb 2006
Last Modified:08 Nov 2021 19:43

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