Covariant color-kinematics duality

A bstract 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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Veröffentlicht in:The journal of high energy physics Jg. 2021; H. 11; S. 1 - 46
Hauptverfasser: Cheung, Clifford, Mangan, James
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Berlin/Heidelberg Springer Berlin Heidelberg 10.11.2021
Springer Nature B.V
Springer Nature
SpringerOpen
Schlagworte:
Amplitudes
Classical and Quantum Gravitation
CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Color
Duality in Gauge Field Theories
Elementary Particles
Equations of motion
Field theory
Formulations
Gauge-gravity correspondence
High energy physics
Kinematics
Mathematical analysis
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Quantum theory
Regular Article - Theoretical Physics
Relativity
Relativity Theory
Scattering Amplitudes
String Theory
Duality in Gauge Field Theories
Gauge-gravity correspondence
Scattering Amplitudes
ISSN:1029-8479, 1029-8479
Online-Zugang:Volltext
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Zusammenfassung:A bstract 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.
Bibliographie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
SC0011632
USDOE Office of Science (SC)
Walter Burke Institute
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2021)069