Jakobsen Gustav Uhre, Mogull Gustav
Institut für Physik und IRIS Adlershof, Humboldt Universität zu Berlin, Zum Großen Windkanal 2, 12489 Berlin, Germany and Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Potsdam, Germany.
Phys Rev Lett. 2022 Apr 8;128(14):141102. doi: 10.1103/PhysRevLett.128.141102.
Using the spinning worldline quantum field theory formalism we calculate the quadratic-in-spin momentum impulse Δp_{i}^{μ} and spin kick Δa_{i}^{μ} from a scattering of two arbitrarily oriented spinning massive bodies (black holes or neutron stars) in a weak gravitational background up to third post-Minkowskian (PM) order (G^{3}). Two-loop Feynman integrals are performed in the potential region, yielding conservative results. For spins aligned to the orbital angular momentum we find a conservative scattering angle that is fully consistent with state-of-the-art post-Newtonian results. Using the 2PM radiated angular momentum previously obtained by Plefka, Steinhoff, and the present authors, we generalize the angle to include radiation-reaction effects, in which case it avoids divergences in the high-energy limit.
使用旋转世界线量子场论形式，我们计算了在弱引力背景下两个任意取向的旋转大质量物体（黑洞或中子星）散射时，自旋二次动量冲量$\Delta p_{i}^{\mu}$和自旋踢$\Delta a_{i}^{\mu}$，直至第三后闵可夫斯基（PM）阶（$G^{3}$）。在势区域中进行了两圈费曼积分，得到了保守结果。对于与轨道角动量对齐的自旋，我们找到了一个与最新的后牛顿结果完全一致的保守散射角。利用先前由普列夫卡、施泰因霍夫以及本文作者得到的2PM辐射角动量，我们将该角度推广以包括辐射反作用效应，在这种情况下它避免了高能极限下的发散。
