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.

31 pages, 2 figures

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• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
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• 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
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
• 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
• Gravitational radiation from the classical spinning double copy
• Ehlers as EM duality in the double copy
• Classical and quantum double copy of back-reaction
• On the Double Copy for Spinning Matter
• Classical double copy at null infinity
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• The Double Copy of Massive Scalar-QCD
• Asymptotic dynamics on the worldline for spinning particles
• On the Lagrangian formulation of the double copy to cubic order
• Radiation of scalar modes and the classical double copy
• Shift symmetries, soft limits, and the double copy beyond leading order
• More on the Classical Double Copy in Three Spacetime Dimensions
• Spinor-helicity and the algebraic classification of higher-dimensional spacetimes
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Beyond the standard model with six-dimensional spinors
• A scattering amplitudes approach to hard thermal loops
• Slowly rotating charges from Weyl double copy for Kerr black hole with Chern-Simons correction
• Yang-Mills observables: from KMOC to eikonal through EFT