A recursion relation for gravity amplitudes
arXiv:hep-th/0502146 · doi:10.1016/j.nuclphysb.2005.016
Abstract
Britto, Cachazo and Feng have recently derived a recursion relation for tree-level scattering amplitudes in Yang-Mills. This relation has a bilinear structure inherited from factorisation on multi-particle poles of the scattering amplitudes - a rather generic feature of field theory. Motivated by this, we propose a new recursion relation for scattering amplitudes of gravitons at tree level. Using this recursion relation, we derive a new general formula for the MHV tree-level scattering amplitude for n gravitons. Finally, we comment on the existence of recursion relations in general field theories.
17 pages, 3 figures. v2: references added, typos corrected. Published version to appear in Nuclear Physics B