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

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 $Ad{S}_5$ 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.

6 pages, no figure, V2 12 pages, one more author added, will appear in PLB

References in corpus (4)

• Randall-Sundrum models and the regularized AdS/CFT correspondence
• Self-tuning solution of the cosmological constant problem with antisymmetric tensor field
• A thermal instability for positive brane cosmological constant in the Randall-Sundrum cosmologies
• Randall-Sundrum Scenario at Nonzero Temperature

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• Single 3-Brane Brane-World in Six Dimension
• Newton Law on the Generalized Singular Brane with and without 4d Induced Gravity
• Newton Law in Brane-World Scenario with 4d Induced Gravity: Singular Quantum Mechanical Approach
• Logarithmic Correction to Newton Potential in Randall-Sundrum Scenario
• Singular Quantum Mechanical Viewpoint of Localized Gravity in Brane-World Scenario
• Newton Law in DGP Brane-World with Semi-Infinite Extra Dimension