论文标题
来自Eikonal操作员的经典引力可观察物
Classical Gravitational Observables from the Eikonal Operator
论文作者
论文摘要
我们提出了两个可能的Eikonal操作员，它们编码经典辐射作为重力群的连贯状态，并显示如何从它们中计算不同的经典可观察物。在第一个提案中，仅包括真正的传播引力，而在第二个提案中，添加了零频模式，以恢复静态引力场的影响。我们首先计算辐射能量摩托车以及每个粒子动量的变化，或冲动到下午3点，以找到与文献一致的订单一致。然后，我们计算碰撞后重力场的角动量。为此，我们将反向单位性的方法调整为描述角动量的衍生物的存在，并通过重新庆祝小型效率扩展而获得的〜\ cite {manohar：20222dea}的结果。作为一个新应用，我们还得出了每个粒子的角动量的变化，直到下午3点：分别计算场和粒子贡献使我们能够明确检查平衡定律。我们还可以通过在4pm向横向脉冲的线性辐射反应贡献贡献线性辐射反应的贡献来展示eikonal算子如何编码Bini-Damour的线性响应公式。
We propose two possible eikonal operators encoding the effects of classical radiation as coherent states of gravitons and show how to compute from them different classical observables. In the first proposal, only genuinely propagating gravitons are included, while, in the second, zero-frequency modes are added in order to recover the effects of a static gravitational field. We first calculate the radiated energy-momentum and the change in each particle's momentum, or impulse, to 3PM order finding agreement with the literature. We then calculate the angular momentum of the gravitational field after the collision. In order to do so, we adapt the method of reverse unitarity to the presence of derivatives in the operators describing the angular momentum and reproduce the result of~\cite{Manohar:2022dea} obtained by resumming the small-velocity expansion. As a new application, we derive also the variation in each particle's angular momentum up to 3PM: calculating separately field and particle contributions allows us to check the balance laws explicitly. We also show how the eikonal operator encodes the linear-response formula of Bini-Damour by deriving the linear radiation-reaction contribution to the transverse impulse at 4PM.
