Colour-kinematics duality, double copy, and homotopy algebras

Leron Borsten; Hyungrok Kim; Branislav Jurčo; Tommaso Macrelli; Christian Saemann; Martin Wolf

doi:10.22323/1.414.0426

Colour-kinematics duality, double copy, and homotopy algebras

Leron Borsten, Hyungrok Kim, Branislav Jurčo, Tommaso Macrelli, Christian Saemann, Martin Wolf

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Abstract

Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.

Original language	English
Number of pages	6
Journal	Proceedings of Science
Volume	414
DOIs	https://doi.org/10.22323/1.414.0426
Publication status	Published - 6 Jul 2022
Event	41st International Conference on High Energy Physics, ICHEP 2022 - Bologna, Italy Duration: 6 Jul 2022 → 13 Jul 2022

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hep-th

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AU - Borsten, Leron

AU - Kim, Hyungrok

AU - Jurčo, Branislav

AU - Macrelli, Tommaso

AU - Saemann, Christian

AU - Wolf, Martin

N1 - © The author(s) under the terms of the Creative Commons Attribution-Non Commercial-No Derivatives 4.0 International License (CC BY-NC-ND 4.0). https://creativecommons.org/licenses/by-nc-nd/4.0/

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N2 - Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.

AB - Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double copy. Albeit fully established at the tree level, its extension to the loop level is conjectural. Lifting the on-shell, scattering amplitudes-based description to the level of action functionals, we argue that a theory that exhibits tree-level colour-kinematics duality can be reformulated in a way such that its loop integrands manifest a generalised form of colour-kinematics duality. Moreover, we show how the structures of higher homotopy theory naturally describe this off-shell reformulation of colour-kinematics duality.

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Y2 - 6 July 2022 through 13 July 2022

ER -

Colour-kinematics duality, double copy, and homotopy algebras

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