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A recursion relation for gravity amplitudes

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arxiv hep-th/0502146 v2 pith:TY22EQED submitted 2005-02-16 hep-th gr-qc

A recursion relation for gravity amplitudes

James Bedford , Andreas Brandhuber , Bill Spence , Gabriele Travaglini This is my paper
classification hep-th gr-qc
keywords recursionrelationamplitudesscatteringfieldgeneralgravitonstree-level
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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