English

A recursion relation for gravity amplitudes

High Energy Physics - Theory 2008-11-26 v2 General Relativity and Quantum Cosmology

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.

Keywords

Cite

@article{arxiv.hep-th/0502146,
  title  = {A recursion relation for gravity amplitudes},
  author = {James Bedford and Andreas Brandhuber and Bill Spence and Gabriele Travaglini},
  journal= {arXiv preprint arXiv:hep-th/0502146},
  year   = {2008}
}

Comments

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