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arXiv · hep-th/0502146

A recursion relation for gravity amplitudes

James Bedford·Andreas Brandhuber·Bill Spence·Gabriele Travaglini
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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.

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James Bedford, Andreas Brandhuber, Bill Spence, Gabriele Travaglini. 2005-06-10. A recursion relation for gravity amplitudes. https://doi.org/10.1016/j.nuclphysb.2005.016

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