A recursion relation for gravity amplitudes

Physics – High Energy Physics – High Energy Physics - Theory

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17 pages, 3 figures. v2: references added, typos corrected. Published version to appear in Nuclear Physics B

Scientific paper

10.1016/j.nuclphysb.2005.016

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.

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