论文标题
一般相对论中两体问题的半分解
Half-solution to the two-body problem in General Relativity
论文作者
论文摘要
我们表明，两个世界线参数的引入定义了一种在有效的现场理论方法中针对一般相对论中的两体问题的计算方法，并提供了一些初步证据，以降低计算复杂性。这些参数遵守一个多项式方程，其扰动扩展恢复了无限的一系列图表。 futhermore，我们表明我们的方程式定义了在一般相对论中相互作用粒子的有效两体范围。在圆形轨道情况下，它对应于轨道可以保持圆形的最小的可能分离。我们期望我们的结果简化两体问题中的高阶计算，并提供有关相互作用二进制的非扰动特性的见解。
We show that the introduction of two worldline parameters defines a different approach to computations in the effective field theory approach to the two-body problem in General Relativity and present some preliminary evidence for a reduction in computational complexity. These parameters obey a polynomial equation whose perturbative expansion recovers an infinite series of diagrams. Futhermore, we show that our equations define an effective two-body horizon for interacting particles in General Relativity; in the circular orbit case, it corresponds to the smallest conceivable separation up to which the orbit can remain circular. We expect our results to simplify higher-order computations in the two-body problem, as well as to give insights on the nonperturbative properties of interacting binaries.
