论文标题
n $^3 $ lo旋转轨道通过旋转引力物体的EFT
N$^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
论文作者
论文摘要
我们通过旋转对象的eft介绍了在牛顿后（pn）重力的现状处的第三个转向顺序（n $^3 $ lo）的旋转轨道相互作用。目前的部门包含有史以来最大，最精致的Feynman图形收藏，迄今为止，在旋转的行业中，在所有PN领域，最高为第三个转向订单。我们的计算是通过高级多环方法进行的。他们最苛刻的方面是，由于n $^3 $ lo lo行业的所有环订单在所有循环订单上出现了尺寸定制杆，因此必须过渡到整个派生的通用维度。在这种旋转的高阶扇区上，首次将自旋变量的高阶时间衍生物缩小的高阶时间衍生物的正式程序至关重要。这引起了当前部门的新独特贡献。首次提供了拉格朗日形式和一般哈密顿量的全部互动潜力。随之而来的重力波（GW）仪表不变的可观察物也得出了，包括结合能，角动量和发射频率之间的关系。在我们的结果与GW源的结合能之间以及通过传统GR得出的散射问题中的推断散射角度之间找到了完全的一致性。与后者的派生相反，我们的框架是独立的和通用的，并且提供了理论和结果，这对于建立最新技术至关重要，并推动精确的边界以测量GWS。
We present the derivation of the third subleading order (N$^3$LO) spin-orbit interaction at the state of the art of post-Newtonian (PN) gravity via the EFT of spinning objects. The present sector contains the largest and most elaborate collection of Feynman graphs ever tackled to date in sectors with spin, and in all PN sectors up to third subleading order. Our computations are carried out via advanced multi-loop methods. Their most demanding aspect is the imperative transition to a generic dimension across the whole derivation, due to the emergence of dimensional-regularization poles across all loop orders as of the N$^3$LO sectors. At this high order of sectors with spin, it is also critical to extend the formal procedure for the reduction of higher-order time derivatives of spin variables beyond linear order for the first time. This gives rise to a new unique contribution at the present sector. The full interaction potential in Lagrangian form and the general Hamiltonian are provided here for the first time. The consequent gravitational-wave (GW) gauge-invariant observables are also derived, including relations among the binding energy, angular momentum, and emitted frequency. Complete agreement is found between our results, and the binding energy of GW sources, and also with the extrapolated scattering angle in the scattering problem, derived via traditional GR. In contrast with the latter derivation, our framework is free-standing and generic, and has provided theory and results, which have been critical to establish the state of the art, and to push the precision frontier for the measurement of GWs.
