Title: Generalized Unitarity Method for Worldline Field Theory Show Chinese title

Title: 广义互补法用于世界线场论

Abstract: We present a generalized unitarity method for theories of point-particle worldlines coupled to gravity, analogous to that of scattering amplitudes in quantum field theory. This method allows the computation of perturbative observables from basic principles such as locality and unitarity, thus avoiding gauge redundancies and the use of Feynman diagrams. We illustrate the method with a variety of examples, including the gravitational waveform for the scattering of two point masses at next-to-leading order (or ${\cal O}(G^{5/2})$), reproducing known results. Our method further streamlines the calculation of the scattering dynamics of compact binary systems and opens the door to further applications and systematical exploration of structure in this class of observables. Show Chinese abstract

Abstract: 我们提出了一种广义的单位性方法，用于点粒子世界线与引力耦合的理论，类似于量子场论中散射振幅的方法。 该方法允许从局部性和单位性等基本原理计算微扰可观测量，从而避免规范冗余和使用费曼图。 我们通过各种示例说明了该方法，包括两个点质量在下一阶（或${\cal O}(G^{5/2})$）散射的引力波形，重现了已知结果。 我们的方法进一步简化了致密双星系统散射动力学的计算，并为该类可观测量的进一步应用和系统性探索打开了大门。