论文标题
北纽顿后框架的重力旋转轨道哈密顿式的哈密顿
Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
论文作者
论文摘要
我们介绍了带有通用旋转的旋转紧凑物体的二元系统的自旋轨道相互作用的结果，最多可在牛顿后扩张中进行nnnlo校正。计算是通过采用有效的现场理论图表方法来执行的，并且涉及在维度正则化方案中评估的Feynman积分最多三个循环。我们采用规范转换来消除哈密顿量的非物理差异和虚假的对数行为，并使用后者在特殊的运动学方案中使用后者来得出仪表不变的结合能和散射角度。
We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. We apply canonical transformations to eliminate the non-physical divergences and spurious logarithmic behaviours of the Hamiltonian, and use the latter to derive the gauge-invariant binding energy and the scattering angle, in special kinematic regimes.
