论文标题
线性响应，哈密顿量和辐射旋转两体动力学
Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
论文作者
论文摘要
使用旋转的超对称世界量子场理论形式主义，我们计算了动量冲动和旋转脚踢，从两个旋转黑洞或中子星的散射到旋转的散射，直至在第三次旋转后的旋转中，包括辐射后（PM）顺序，包括辐射反应效应和任意错误的旋转旋转方向。这些可观察到的部分（包括保守性和辐射性）的一部分也可以通过将Bini和Damour的线性响应公式扩展到包含错误对准的旋转，从较低的PM散射数据中推断出来。通过求解汉密尔顿的运动方程，我们还使用保守的散射角度来推断完整的3pm两体汉密尔顿人，包括有限尺寸的校正和错位的自旋旋转相互作用。最后，我们描述了对齐旋转矢量的结合两体动力学的映射：包括圆形轨道的结合能的数值图，与数值相对论，NNLO PN结合能的分析确认以及连续轨道上的能量损失。
Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian (PM) order, including radiation-reaction effects and with arbitrarily mis-aligned spin directions. Parts of these observables, both conservative and radiative, are also inferred from lower-PM scattering data by extending Bini and Damour's linear response formula to include mis-aligned spins. By solving Hamilton's equations of motion we also use a conservative scattering angle to infer a complete 3PM two-body Hamiltonian including finite-size corrections and mis-aligned spin-spin interactions. Finally, we describe mappings to the bound two-body dynamics for aligned spin vectors: including a numerical plot of the binding energy for circular orbits compared with numerical relativity, analytic confirmation of the NNLO PN binding energy and the energy loss over successive orbits.
