Berends-Giele recursion for double-color-ordered amplitudes

  • Carlos R. Mafra
Open Access
Regular Article - Theoretical Physics


Tree-level double-color-ordered amplitudes are computed using Berends-Giele recursion relations applied to the bi-adjoint cubic scalar theory. The standard notion of Berends-Giele currents is generalized to double-currents and their recursions are derived from a perturbiner expansion of linearized fields that solve the non-linear field equations. Two applications are given. Firstly, we prove that the entries of the inverse KLT matrix are equal to Berends-Giele double-currents (and are therefore easy to compute). And secondly, a simple formula to generate tree-level BCJ-satisfying numerators for arbitrary multiplicity is proposed by evaluating the field-theory limit of tree-level string amplitudes for various color orderings using double-color-ordered amplitudes.


Superstrings and Heterotic Strings Effective field theories 


Open Access

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Copyright information

© The Author(s) 2016

Authors and Affiliations

  1. 1.School of Natural SciencesInstitute for Advanced StudyPrincetonU.S.A.

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