Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-07
Phys.Lett. B562 (2003) 316-322
Physics
High Energy Physics
High Energy Physics - Theory
11 pages, no figure, v2: Newton law is improved, will appear in PLB
Scientific paper
10.1016/S0370-2693(03)00602-6
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. Our approach generates $5d$ Newton potential at a certain intermediate range of distance between two test massive sources. For other range of distance 4d Newton potential is recovered.
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