Newton Law in Brane-World Scenario with 4d Induced Gravity: Singular Quantum Mechanical Approach

Preprint
Publisher Website
Google Scholar
  • 7 April 2003
Abstract
From the viewpoint of the singular quantum mechanics the effect of the energy-dependent coupling constant for $\delta$-function potential is examined. The energy-dependence of the coupling constant naturally generates the time-derivative in the boundary condition of the Euclidean propagator. This is explicitly confirmed by making use of the simple 1d model. The result is applied to the linearized gravity fluctuation equation for the brane-world scenario with 4d induced gravity. Based on the assumption that the subleading term of the localized Newton potential is dominantly contributed from the light mass in Kaluza-Klein spectrum, we compute the higher-order correction of the Newton potential approximately in this scenario.

This publication has 0 references indexed in Scilit: