标题： 从振幅得到的引力束缚波形 显示英文标题

标题： Gravitational Bound Waveforms from Amplitudes

摘要： 为了从散射振幅计算束缚波形，我们利用施温格-狄拉克方程和贝特-萨尔佩特递归关系探索了引力双体的动力学。我们证明了树级散射波形在快速性上自然地解析延拓到束缚波形，这一点通过独立的牛顿近似展开计算得到验证，该计算针对的是大偏心率时时域多极子的结果。我们还展示了这种散射到束缚映射与准开普勒参数化中轨道元素的达穆尔-德鲁埃尔公式（用于多极子评估）以及在3PM处结合能上的辐射能量和角动量的解析延拓之间的一致性。 显示英文摘要

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.