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Tree Level Recursion Relations In General Relativity

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arxiv hep-th/0502160 v3 pith:VTZXQOB2 submitted 2005-02-17 hep-th

classification hep-th
keywords amplitudesrelationsrecursiongravitonsscatteringtree-levelamplitudebeen
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 5 Pith papers

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    Pair-zero and degree conditions admit extra six-dimensional hook solutions at seven points and a two-dimensional plane at eight; Bose symmetry and one normalized physical boundary condition single out the Hodges numerator.

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  3. Generating Hodges' Graviton MHV Formula with an $Lw_{1+\infty}$ Ward Identity

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  4. On-shell recursion relations for higher-spin Compton amplitudes

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    The all-line transverse shift makes four-point electromagnetic and gravitational Compton amplitudes on-shell constructible for massive spin s≤3/2 and s≤5/2, respectively, starting from minimal three-point amplitudes.

  5. Perturbiner methods in scattering amplitude

    hep-th 2026-07 accept novelty 5.5 of 10

    Perturbiner multi-particle solutions of classical field equations generate Berends–Giele currents and tree-level amplitudes across scalars, gauge theory, gravity, NLSM, AdS, and one-loop integrands, including several ...

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