Regular Article - Theoretical Physics
Gravitational scattering in the ADD model revisited
Department of Theoretical Physics, Lund University, Sölvegatan 14A, 22362, Lund, Sweden
Revised: 24 November 2006
Published online: 3 February 2007
It is argued that the assumption that the standard model particles live on a finite brane in the ADD model does in itself imply a finite propagator for virtual Kaluza–Klein mode exchange. The part of the propagator relevant for large distance scattering is cut-off-independent for scattering at distances large compared to the brane width. The matrix element corresponding to this part can also, at least for an odd number of extra dimensions, be Fourier transformed to position space, giving back the extra-dimensional version of Newton’s law. For an even number of extra dimensions a corresponding result is found by requiring that Newton’s law should be recovered.
© Springer-Verlag Berlin Heidelberg, 2007