Tree Level Recursion Relations In General Relativity

Details Tree Level Recursion Relations In General Relativity Tree Level Recursion Relations In General Relativity

2005-02-17

arxiv.org/abs/hep-th/0502160v3

Physics

High Energy Physics

High Energy Physics - Theory

17 pp. v3: Fixed typos in six-graviton non-MHV amplitude, added references

Scientific paper

Recently, tree-level recursion relations for scattering amplitudes of gluons in Yang-Mills theory have been derived. In this note we propose a generalization of the recursion relations to tree-level scattering amplitudes of gravitons. We use the relations to derive new simple formulae for all amplitudes up to six gravitons. In particular, we present an explicit formula for the six graviton non-MHV amplitude. We prove the relations for MHV and next-to-MHV n-graviton amplitudes and for all eight-graviton amplitudes.

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