Classical Gravitational Self-Energy from Double Copy

Abstract

We apply the classical double copy to the calculation of self-energy of composite systems with multipolar coupling to gravitational field, obtaining next-to-leading order results in the gravitational coupling $G_N$ by generalizing color to kinematics replacement rules known in literature. When applied to the multipolar description of the two-body system, the self-energy diagrams studied in this work correspond to tail processes, whose physical interpretation is of radiation being emitted by the non-relativistic source, scattered by the curvature generated by the binary system and then re-absorbed by the same source. These processes contribute to the conservative two-body dynamics and the present work represents a decisive step towards the systematic use of double copy within the multipolar post-Minkowskian expansion.

arXiv comment20 pages, 2 figures

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Cited by in corpus (18)

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• Off-Shell Color-Kinematics Duality for Chern-Simons
• New heavenly double copies
• Generalizations of the Double-Copy: the KLT Bootstrap
• Kerr-Schild Double Copy of the Coulomb Solution in Three Dimensions
• Asymptotic dynamics on the worldline for spinning particles
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Generalized Black Holes in 3D Kerr-Schild Double Copy
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Gravitational Multipole Renormalization
• Next-to-MHV Yang-Mills kinematic algebra
• Weyl double copy in type D spacetime in four and five dimensions
• The Weyl double copy from twistor space
• Five dimensional Weyl double copy
• Entire Four-Graviton EFT from the Duality Between Color and Kinematics
• The Kerr-Schild Double Copy in Lifshitz Spacetime