Berends-Giele recursion for double-color-ordered amplitudes
Berends-Giele recursion for double-color-ordered amplitudes
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.
hep-th
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
15 July 2016
Mafra, Carlos R.
5a40c14f-0ddb-4c0c-9ce5-acabc537cd01
Mafra, Carlos R.
(2016)
Berends-Giele recursion for double-color-ordered amplitudes.
Journal of High Energy Physics, (80).
(doi:10.1007/JHEP07(2016)080).
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.
Text
1603.09731v2
- Accepted Manuscript
More information
Published date: 15 July 2016
Additional Information:
15 pages, harvmac TeX, v2: published version
Keywords:
hep-th
Identifiers
Local EPrints ID: 435037
URI: http://eprints.soton.ac.uk/id/eprint/435037
ISSN: 1029-8479
PURE UUID: 8b5a8162-394d-4189-a4e0-7379dbcecf9a
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Date deposited: 18 Oct 2019 16:30
Last modified: 17 Mar 2024 03:33
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