Dlapa Christoph, Kälin Gregor, Liu Zhengwen, Porto Rafael A
Deutsches Elektronen-Synchrotron DESY, Notkestr. 85, 22607 Hamburg, Germany.
Phys Rev Lett. 2022 Apr 22;128(16):161104. doi: 10.1103/PhysRevLett.128.161104.
We compute the conservative dynamics of nonspinning binaries at fourth post-Minkowskian order in the large-eccentricity limit, including both potential and radiation-reaction tail effects. This is achieved by obtaining the scattering angle in the worldline effective field theory approach and deriving the bound radial action via analytic continuation. The associated integrals are bootstrapped to all orders in velocities through differential equations, with boundary conditions in the potential and radiation regions. The large angular momentum expansion captures all the local-in-time effects as well as the trademark logarithmic corrections for generic bound orbits. Agreement is found in the overlap with the state of the art in post-Newtonian theory.
我们在大偏心率极限下计算了非自旋双星在闵可夫斯基后四阶的保守动力学，包括势和辐射反作用尾效应。这是通过在世界线有效场论方法中获得散射角并通过解析延拓推导束缚径向作用来实现的。相关积分通过微分方程自洽到速度的所有阶次，并在势和辐射区域设置边界条件。大角动量展开捕捉了所有即时局部效应以及一般束缚轨道特有的对数修正。结果与后牛顿理论中的现有技术水平相吻合。
