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Gravitational Bound Waveforms from Amplitudes
- Source :
- JHEP05(2024)034
- Publication Year :
- 2024
-
Abstract
- With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a natural analytic continuation, in rapidity, to the bound waveform, which we confirm from an independent calculation, in the Post-Newtonian expansion, of the time-domain multipoles at large eccentricity. We demonstrate consistency of this scattering-to-bound map with the Damour-Deruelle prescription for orbital elements in the quasi-Keplerian parametrization (which enters into the evaluation of the multipoles) and with the analytic continuation, in the binding energy, of radiated energy and angular momentum at 3PM.<br />Comment: 46 pages, 10 figures; v2: typos corrected, references added
- Subjects :
- High Energy Physics - Theory
General Relativity and Quantum Cosmology
Subjects
Details
- Database :
- arXiv
- Journal :
- JHEP05(2024)034
- Publication Type :
- Report
- Accession number :
- edsarx.2402.00124
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP05(2024)034