论文标题

以任意速度i:软辐射极限的Eikonal操作员

The eikonal operator at arbitrary velocities I: the soft-radiation limit

论文作者

Di Vecchia, Paolo, Heissenberg, Carlo, Russo, Rodolfo, Veneziano, Gabriele

论文摘要

到目前为止,已经发现与重力敌军的实际部分(例如偏转角和时间延迟)相关的可观察到的物品,其有效性从非权利主义者延伸到最极端的超级偏见(UR)策略,与无质量的粒子碰撞相连。为了描述引力辐射,必须将艾科纳尔阶段促进到一个统一的操作员,我们激励提案并开始在软辐射极限内讨论特性。发现收敛的PM扩展仅保持低于UR的结合(在GR文献中讨论)上面的趋势,而相反,需要进行不同的扩展,这通常意味着牛顿常数中某些非分析性。在这种极端的状态下,软辐射可观察物仅从重力群中获得贡献,因此是普遍的。这概括了\ cite {divecchia:2020ymx}以外的弹性情况的模式。

Observables related to the real part of the gravitational eikonal, such as the deflection angle and time delay, have been found so far to have a smooth post-Minkowskian (PM) expansion whose validity extends from the non-relativistic to the most extreme ultra-relativistic (UR) regime, which smoothly connects with massless particle collisions. To describe gravitational radiation, the eikonal phase has to be promoted to a unitary operator for which we motivate a proposal and start discussing properties in the soft-radiation limit. A convergent PM expansion is found to only hold below an UR bound (discussed in the GR literature in the seventies) above which a different expansion is instead needed implying, in general, some non-analyticity in Newton's constant. In this extreme UR regime soft radiative observables receive contributions only from gravitons and are therefore universal. This generalises the pattern discussed in \cite{DiVecchia:2020ymx} beyond the elastic case.

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