Covariant color-kinematics duality

Abstract We show that color-kinematics duality is a manifest property of the equations of motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this insight enables an implementation of the double copy at the level of fields, as well as an explicit construction of the...

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Autores principales:	Clifford Cheung, James Mangan
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Scattering Amplitudes Duality in Gauge Field Theories Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/195c23cf596d480c8d010d684a35b1b4
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spelling	oai:doaj.org-article:195c23cf596d480c8d010d684a35b1b42021-11-14T12:42:12ZCovariant color-kinematics duality10.1007/JHEP11(2021)0691029-8479https://doaj.org/article/195c23cf596d480c8d010d684a35b1b42021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)069https://doaj.org/toc/1029-8479Abstract We show that color-kinematics duality is a manifest property of the equations of motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this insight enables an implementation of the double copy at the level of fields, as well as an explicit construction of the kinematic algebra and associated kinematic current. As a byproduct, we also derive new formulations of the special Galileon (SG) and Born-Infeld (BI) theory. For Yang-Mills (YM) theory, this same approach reveals a novel structure — covariant color-kinematics duality — whose only difference from the conventional duality is that 1/□ is replaced with covariant 1/D 2. Remarkably, this structure implies that YM theory is itself the covariant double copy of gauged biadjoint scalar (GBAS) theory and an F 3 theory of field strengths encoding a corresponding kinematic algebra and current. Directly applying the double copy to equations of motion, we derive general relativity (GR) from the product of Einstein-YM and F 3 theory. This exercise reveals a trivial variant of the classical double copy that recasts any solution of GR as a solution of YM theory in a curved background. Covariant color-kinematics duality also implies a new decomposition of tree-level amplitudes in YM theory into those of GBAS theory. Using this representation we derive a closed-form, analytic expression for all BCJ numerators in YM theory and the NLSM for any number of particles in any spacetime dimension. By virtue of the double copy, this constitutes an explicit formula for all tree-level scattering amplitudes in YM, GR, NLSM, SG, and BI.Clifford CheungJames ManganSpringerOpenarticleScattering AmplitudesDuality in Gauge Field TheoriesGauge-gravity correspondenceNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-46 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Scattering Amplitudes Duality in Gauge Field Theories Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Scattering Amplitudes Duality in Gauge Field Theories Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Clifford Cheung James Mangan Covariant color-kinematics duality
description	Abstract We show that color-kinematics duality is a manifest property of the equations of motion governing currents and field strengths. For the nonlinear sigma model (NLSM), this insight enables an implementation of the double copy at the level of fields, as well as an explicit construction of the kinematic algebra and associated kinematic current. As a byproduct, we also derive new formulations of the special Galileon (SG) and Born-Infeld (BI) theory. For Yang-Mills (YM) theory, this same approach reveals a novel structure — covariant color-kinematics duality — whose only difference from the conventional duality is that 1/□ is replaced with covariant 1/D 2. Remarkably, this structure implies that YM theory is itself the covariant double copy of gauged biadjoint scalar (GBAS) theory and an F 3 theory of field strengths encoding a corresponding kinematic algebra and current. Directly applying the double copy to equations of motion, we derive general relativity (GR) from the product of Einstein-YM and F 3 theory. This exercise reveals a trivial variant of the classical double copy that recasts any solution of GR as a solution of YM theory in a curved background. Covariant color-kinematics duality also implies a new decomposition of tree-level amplitudes in YM theory into those of GBAS theory. Using this representation we derive a closed-form, analytic expression for all BCJ numerators in YM theory and the NLSM for any number of particles in any spacetime dimension. By virtue of the double copy, this constitutes an explicit formula for all tree-level scattering amplitudes in YM, GR, NLSM, SG, and BI.
format	article
author	Clifford Cheung James Mangan
author_facet	Clifford Cheung James Mangan
author_sort	Clifford Cheung
title	Covariant color-kinematics duality
title_short	Covariant color-kinematics duality
title_full	Covariant color-kinematics duality
title_fullStr	Covariant color-kinematics duality
title_full_unstemmed	Covariant color-kinematics duality
title_sort	covariant color-kinematics duality
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/195c23cf596d480c8d010d684a35b1b4
work_keys_str_mv	AT cliffordcheung covariantcolorkinematicsduality AT jamesmangan covariantcolorkinematicsduality
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Covariant color-kinematics duality

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