论文标题
旋转黑洞二进制动力学，散射幅度和有效的场理论
Spinning Black Hole Binary Dynamics, Scattering Amplitudes and Effective Field Theory
论文作者
论文摘要
我们描述了一个系统的框架，以根据任意自旋和有效野外理论的颗粒的散射幅度来找到带有旋转的紧凑型二元系统的保守潜力。通常在经典限制中需要任意旋转形式主义。通过将四个旋转粒子的树和一环振幅与适当选择的有效野外理论相匹配，我们通过O（g^2）获得了两体有效哈密顿量的Spin1-Spin2项，并且对速度的所有顺序有效。解决汉密尔顿的方程式产生了各个身体的冲动和旋转变化。我们以惊人的紧凑形式将它们编写为从振幅获得的艾科纳尔相的适当衍生物。似乎这种结构可能会持续到更高的命令。我们还指出了一般自旋的各种双拷贝关系。
We describe a systematic framework for finding the conservative potential of compact binary systems with spin based on scattering amplitudes of particles of arbitrary spin and effective field theory. An arbitrary-spin formalism is generally required in the classical limit. By matching the tree and one-loop amplitudes of four spinning particles with those of a suitably-chosen effective field theory, we obtain the spin1-spin2 terms of a two-body effective Hamiltonian through O(G^2) and valid to all orders in velocity. Solving Hamilton's equations yields the impulse and spin changes of the individual bodies. We write them in a surprisingly compact form as appropriate derivatives of the eikonal phase obtained from the amplitude. It seems likely this structure persists to higher orders. We also point out various double-copy relations for general spin.
