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Similar

J. Broedel and J. J. M. Carrasco, “Virtuous Trees at Five and Six Points for Yang-Mills and Gravity,” Phys. Rev. D
Original
2011
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, T. Sondergaard, and P. Vanhove, “The Momentum Kernel of Gauge and Gravity Theories,” JHEP
Original
2011
Cited alongside, same era.
L. J. Dixon, J. M. Henn, J. Plefka, and T. Schuster, “All tree-level amplitudes in massless QCD,” JHEP
Original
2011
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, R. Monteiro, and D. O’Connell, “Algebras for Amplitudes,” JHEP
Original
2012
Cited alongside, same era.
C. Cheung and Z. Moss, “Symmetry and Unification from Soft Theorems and Unitarity,” JHEP

Then

S. He, R. Monteiro, and O. Schlotterer, “String-inspired BCJ numerators for one-loop MHV amplitudes,” JHEP
Original
2016
Later among the works it cites.
Y.-J. Du and C.-H. Fu, “Explicit BCJ numerators of nonlinear simga model,” JHEP
Original
2016
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. L. Bourjaily, P. H. Damgaard, and B. Feng, “Manifesting Color-Kinematics Duality in the Scattering Equation Formalism,” JHEP
Original
2016
Later among the works it cites.
N. E. J. Bjerrum-Bohr, J. L. Bourjaily, P. H. Damgaard, and B. Feng, “Analytic representations of Yang–Mills amplitudes,” Nucl. Phys. B
Original
2016
Later among the works it cites.
C. R. Mafra and O. Schlotterer, “Berends-Giele recursions and the BCJ duality in superspace and components,” JHEP

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2021

Covariant Color-Kinematics Duality

Cheung, Clifford, Mangan, James

Understand

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 $1/\Box$ is replaced with covariant $1/D^2$.