来自振幅的引力束缚波形
Gravitational Bound Waveforms from Amplitudes
AI总结：
本文利用 Schwinger-Dyson 方程与 Bethe-Salpeter 递归，建立树级散射波形在快度上到引力束缚波形的解析延拓，并通过后牛顿多极矩及 3PM 辐射量验证其一致性。
摘要：
为了从散射振幅计算束缚波形，我们利用 Schwinger-Dyson 方程和 Bethe-Salpeter 递归研究引力两体动力学。我们表明，树级散射波形可在快度上自然解析延拓为束缚波形；这一点由在大偏心率下对时域多极矩进行的后牛顿展开独立计算所证实。我们证明了这种散射到束缚的映射与准 Kepler 参数化中轨道要素的 Damour-Deruelle 处方（该处方进入多极矩的计算）以及 3PM 阶辐射能量和角动量在束缚能上的解析延拓相一致。
英文摘要：
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.
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