Gravitational Scattering in the ADD-model Revisited

The effects of the condition that the standard model particles live on a thin brane in the ADD-model is investigated. This is shown to result in a cut-off independent Kaluza–Klein propagator for large distance scattering and an odd number of extra dimensions. The matrix element corresponding to this propagator can also be Fourier transformed to position space, giving back the extra-dimensional version of Newton’s law. For an even number of extra dimensions the corresponding propagator is found by requiring that Newton’s law should be recovered.