The Radiative Double Copy for Einstein-Yang-Mills Theory

Abstract

Recently, a double-copy formalism was used to calculate gravitational radiation from classical Yang-Mills radiation solutions. This work shows that Yang-Mills theory coupled to a biadjoint scalar field admits a radiative double copy that agrees with solutions in Einstein-Yang-Mills theory at the lowest finite order. Within this context, the trace-reversed metric ${\bar{h}}^{\mu \nu }$ is a natural double copy of the gauge boson $A^{\mu a}$. This work provides additional evidence that solutions in gauge and gravity theories are related, even though their respective Lagrangians and nonlinear equations of motion appear to be different.

arXiv comment31 pages, 2 figures

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Cited by in corpus (35)

• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Gravitational Radiation from Color-Kinematics Duality
• Type D Spacetimes and the Weyl Double Copy
• Tidal Effects in the Post-Minkowskian Expansion
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
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• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Mining the Geodesic Equation for Scattering Data
• The Classical Double Copy of a Point Charge
• Breakdown of the classical double copy for the effective action of dilaton-gravity at NNLO
• Classical Yang-Mills observables from amplitudes
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• Beyond the standard model with six-dimensional spinors
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• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
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