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Compromise of Localized Graviton with a Small Cosmological Constant in Randall-Sundrum Scenario

D. K. Park·S. Tamaryan
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Abstract

A new mechanism which leads to a linearized massless graviton localized on the brane is found in the $AdS$/CFT setting, {\it i.e.} in a single copy of $AdS_5$ spacetime with a singular brane on the boundary, within the Randall-Sundrum brane-world scenario. With an help of a recent development in path-integral techniques, a one-parameter family of propagators for linearized gravity is obtained analytically, in which a parameter $ξ$ reflects various kinds of boundary conditions that arise as a result of the half-line constraint. In the case of a Dirichlet boundary condition ($ξ= 0$) the graviton localized on the brane can be massless {\it via} coupling constant renormalization. Our result supports a conjecture that the usual Randall-Sundrum scenario is a regularized version of a certain underlying theory.

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D. K. Park, S. Tamaryan. 2002-03-04. Compromise of Localized Graviton with a Small Cosmological Constant in Randall-Sundrum Scenario. https://doi.org/10.1016/s0370-2693(02)01541-1

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