论文标题
从有效的现场理论方法中，二进制系统到第三级后秩序的保守动力学
Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
论文作者
论文摘要
我们使用[2006.01184]中介绍的有效田间理论（EFT）方法以及[1910.03008，1911.09130]中开发的有效野外理论（EFT）方法，将非旋转二进制文件的保守动力学推向了第三次 - 康科夫斯基秩序。主要成分是散射角度，我们通过Feynman图将其计算为$ {\ cal o}（g^3）$。从振幅程序中适应EFT框架强大的工具，我们展示了如何通过微分方程将关联的（主）积分引导到速度中的所有订单。值得注意的是，可以将边界条件简化为与牛顿后源出现在EFT中的相同积分。为了比较，我们重建了哈密顿量和散射幅度的经典极限。我们的结果与Bern等人的结果完全吻合。 [1901.04424，1908.01493]。
We derive the conservative dynamics of non-spinning binaries to third Post-Minkowskian order, using the Effective Field Theory (EFT) approach introduced in [2006.01184] together with the Boundary-to-Bound dictionary developed in [1910.03008, 1911.09130]. The main ingredient is the scattering angle, which we compute to ${\cal O}(G^3)$ via Feynman diagrams. Adapting to the EFT framework powerful tools from the amplitudes program, we show how the associated (master) integrals are bootstrapped to all orders in velocities via differential equations. Remarkably, the boundary conditions can be reduced to the same integrals that appear in the EFT with Post-Newtonian sources. For the sake of comparison, we reconstruct the Hamiltonian and the classical limit of the scattering amplitude. Our results are in perfect agreement with those in Bern et al. [1901.04424, 1908.01493].
