论文标题
在紧凑型二进制系统中进行潮汐互动的哈密顿量,近代到领先的牛顿后订单
Hamiltonian for tidal interactions in compact binary systems to next-to-next-to-leading post-Newtonian order
论文作者
论文摘要
在以前的作品中,我们在谐波坐标中使用有效的田间理论(EFT)的两个紧凑型非旋转对象之间的保守性潮汐相互作用获得了近代领先的,近代领先的,近代领先的(NNL)后纽顿(NNL)校正。在本文中,我们计算了类似和各向同性的坐标中相应的NNL PN潮汐有效的哈密顿量,并具有质量四极杆,当前四极杆和质量八杆潮汐相互作用的贡献,始终包括在该水平上。我们还在Delaunay变量中得出了NNL潮汐汉密尔顿。我们在重叠中发现了与最新结果的完全一致性,这些结果是使用散射幅度和EFT的工具得出的,而EFT到第二后期(PM)订单。
In previous works, we obtained the leading, next-to-leading and next-to-next-to-leading (NNL) post-Newtonian (PN) corrections in the conservative tidal interactions between two compact non-spinning objects using a Lagrangian of effective field theory (EFT) in harmonic coordinates. In the present paper, we compute the corresponding NNL PN tidal effective Hamiltonian in ADM-like and isotropic coordinates, with contributions from mass quadrupole, current quadrupole and mass octupole tidal interactions, consistently included at that level. We also derive the NNL tidal Hamiltonian in Delaunay variables. We find full agreement in the overlap with recent results that were derived using tools from scattering amplitudes and the EFT to second post-Minkowskian (PM) order.