Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-08-10
Phys.Lett. B535 (2003) 305-310
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, no figure, V2 12 pages, one more author added, will appear in PLB
Scientific paper
10.1016/S0370-2693(02)01541-1
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 $\xi$ reflects various kinds of boundary conditions that arise as a result of the half-line constraint. In the case of a Dirichlet boundary condition ($\xi = 0$) 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.
Park Dae Kil
Tamaryan Sayatnova
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