论文标题
三体有效潜力在第二后期秩序中的总体相对论和牛顿后的贡献
Three-Body Effective Potential in General Relativity at Second Post-Minkowskian Order and Resulting Post-Newtonian Contributions
论文作者
论文摘要
我们研究了重力三体有效潜力的 - 纽顿后（PM）和牛顿后（PN）的扩张。在下午2点，在作用于一环三角积分最大概括的差异操作员方面给出了形式的结果。我们计算所有运动区域中的积分不可或缺，并表明PN扩展中的主要术语被复制。然后，我们在集成级的水平上明确执行PN扩展。在集成后找到与2PN三体潜力的协议，我们在订单3PN上明确介绍了新的$ g^2v^4 $ -Contributions，并概述了对$ g^2v^{2n} $的概括。代表这些结果的基本输入的积分是通过将最近的Yangian Bootstrap直接应用于其三个维度周围的$ε$ expansion来获得的。我们采用的用于获得这些积分的坐标空间扬吉发电机可以理解为在双动量空间中的特殊形式对称性。
We study the Post-Minkowskian (PM) and Post-Newtonian (PN) expansions of the gravitational three-body effective potential. At order 2PM a formal result is given in terms of a differential operator acting on the maximal generalized cut of the one-loop triangle integral. We compute the integral in all kinematic regions and show that the leading terms in the PN expansion are reproduced. We then perform the PN expansion unambiguously at the level of the integrand. Finding agreement with the 2PN three-body potential after integration, we explicitly present new $G^2v^4$-contributions at order 3PN and outline the generalization to $G^2v^{2n}$. The integrals that represent the essential input for these results are obtained by applying the recent Yangian bootstrap directly to their $ε$-expansion around three dimensions. The coordinate space Yangian generator that we employ to obtain these integrals can be understood as a special conformal symmetry in a dual momentum space.
