论文标题
在北纽顿后框架中的nnnlo引力二次旋转哈密顿
Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
论文作者
论文摘要
我们介绍了用于旋转紧凑型物体的二元系统的二旋旋转相互作用的结果,并在牛顿后膨胀中最多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。在特殊的运动学方案和自旋构型中,量规不变的结合能和散射角是明确得出的。结果扩展了我们先前关于自旋轨道相互作用效应的研究。
We present the result of the quadratic-in-spin 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. The gauge-invariant binding energy and the scattering angle, in special kinematic regimes and spin configurations, are explicitly derived. The results extend our earlier study on the spin-orbit interaction effects.