Jakobsen Gustav Uhre, Mogull Gustav, Plefka Jan, Sauer Benjamin, Xu Yingxuan
Institut für Physik und IRIS Adlershof, Humboldt Universität zu Berlin, Zum Großen Windkanal 2, 12489 Berlin, Germany.
Max Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 14476 Potsdam, Germany.
Phys Rev Lett. 2023 Oct 13;131(15):151401. doi: 10.1103/PhysRevLett.131.151401.
Using the N=1 supersymmetric, spinning worldline quantum field theory formalism, we compute the conservative spin-orbit part of the momentum impulse Δp_{i}^{μ}, spin kick ΔS_{i}^{μ}, and scattering angle θ from the scattering of two spinning massive bodies (black holes or neutron stars) up to fourth post-Minkowskian (PM) order. These three-loop results extend the state of the art for generically spinning binaries from 3PM to 4PM. They are obtained by employing recursion relations for the integrand construction and advanced multiloop Feynman integral technology in the causal (in-in) worldline quantum field theory framework to directly produce classical observables. We focus on the conservative contribution (including tail effects) and outline the computations for the dissipative contributions as well. Our spin-orbit results agree with next-to-next-to-next-to-leading-order post-Newtonian and test-body data in the respective limits. We also reconfirm the conservative 4PM nonspinning results.
利用(N = 1)超对称、旋转世界线量子场论形式体系，我们计算了两个旋转大质量天体（黑洞或中子星）散射时动量冲量(\Delta p_{i}^{\mu})、自旋踢(\Delta S_{i}^{\mu})的保守自旋轨道部分以及散射角(\theta)，计算到后闵可夫斯基（PM）四阶。这些三圈结果将一般旋转双星的现有技术水平从3PM扩展到了4PM。它们是通过在因果（in-in）世界线量子场论框架中使用被积函数构造的递归关系和先进的多圈费曼积分技术来直接产生经典可观测量而得到的。我们专注于保守贡献（包括尾效应），并概述了耗散贡献的计算。我们的自旋轨道结果在各自的极限下与次下下领先阶后牛顿和检验体数据一致。我们还再次确认了保守的4PM无自旋结果。
