Berends-Giele recursion for double-color-ordered amplitudes
Abstract
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.
Keywords
Cite
@article{arxiv.1603.09731,
title = {Berends-Giele recursion for double-color-ordered amplitudes},
author = {Carlos R. Mafra},
journal= {arXiv preprint arXiv:1603.09731},
year = {2016}
}
Comments
15 pages, harvmac TeX, v2: published version