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Dual Identities inside the Gluon and the Graviton Scattering Amplitudes

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arxiv 1003.1732 v2 pith:XJOKHZQO submitted 2010-03-08 hep-th hep-ph

Dual Identities inside the Gluon and the Graviton Scattering Amplitudes

classification hep-th hep-ph
keywords amplitudesscatteringidentitiestreedualgluongravitonfeynman
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recently, Bern, Carrasco and Johansson conjectured dual identities inside the gluon tree scattering amplitudes. In this paper, we use the properties of the heterotic string and open string tree scattering amplitudes to refine and derive these dual identities. These identities can be carried over to loop amplitudes using the unitarity method. Furthermore, given the $M$-gluon (as well as gluon-gluino) tree amplitudes, $M$-graviton (as well as graviton-gravitino) tree scattering amplitudes can be written down immediately, avoiding the derivation of Feynman rules and the evaluation of Feynman diagrams for graviton scattering amplitudes.

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  1. Color-factor symmetry using perturbiner methods for tree-level amplitudes of Yang-Mills theory coupled to matter

    hep-th 2026-07 accept novelty 6.0

    Perturbiner recursion proves color-factor symmetry (hence BCJ relations) for all tree-level YM+matter amplitudes with at least one gluon.