Classical double copy from Color Kinematics duality: A proof in the soft limit

Abstract

Classical double copy is an intriguing relationship between classical solutions to a gravity theory and solutions to classical Yang-Mills equations. Although formally inspired by the double copy relation between (quantum) scattering amplitudes in QCD and perturbative gravity, a direct proof of the former from the latter continues to be under investigation. In this paper, we attempt to prove classical double copy from the color-kinematics duality symmetry of QCD amplitudes in a restricted setting. That is we consider radiative solutions with classical scattering sources in Yang-Mills theory and perturbative gravity in D > 4 spacetime dimensions. We show that when the frequency of radiation is much smaller than the characteristic frequency of the process, then at the subleading order in frequency, the classical double copy relating radiative gluon field to radiative gravitational field can be proved from the color-kinematics duality of QCD amplitudes.

arXiv comment47 pages, minor changes and citations added

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Cited by in corpus (23)

• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• A Twistorial Foundation for the Classical Double Copy
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Topology and Wilson lines: global aspects of the double copy
• Weyl doubling
• On the Double Copy for Spinning Matter
• Monopoles, shockwaves and the classical double copy
• Loop-Level Double-Copy for Massive Quantum Particles
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Asymptotic dynamics on the worldline for spinning particles
• On the Lagrangian formulation of the double copy to cubic order
• Geodesics From Classical Double Copy
• Radiative phase space extensions at all orders in r for self-dual Yang-Mills and Gravity
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• Extracting Einstein from the Loop-Level Double-Copy
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Classical double copy and higher-spin fields
• Note on the asymptotic structure of Kerr-Schild form
• The Weyl double copy from twistor space
• On-Shell Perspectives on the Massless Limit of Massive Supergravity
• The Kerr-Schild Double Copy in Lifshitz Spacetime