论文标题
天体CFT中的Eikonal近似
Eikonal Approximation in Celestial CFT
论文作者
论文摘要
我们确定了天体CFT $ _2 $中的艾科纳尔（Eikonal）制度，其中无数散射由T通道交换主导。我们得出了一个天体振幅的公式，该公式将任意整数旋转的交换恢复到耦合中的所有顺序。所得的Eikonal相的形式与平面相同的形式与质量中心能量的力量相同，被天体上的重量转移算子所取代。我们独立计算在冲击波背景中传播标量的天体两点函数，并表明在重力耦合中领先顺序，并且为了选择源的合适选择，结果与重力交换的天体Eikonal eikonal公式的预测一致。我们证明，可以在平坦的空间限制下从ADS $ _4 $中的相应公式中直接获得此两点函数。我们最终在天体CFT $ _ {D-1} $中建立了标量天体振幅与标量广告的平面空间极限$ _ {D+1} $ WITTEN图。
We identify an eikonal regime in celestial CFT$_2$ in which massless 2-2 scattering is dominated by t-channel exchange. We derive a formula for the celestial amplitude that resums exchanges of arbitrary integer spin to all orders in the coupling. The resulting eikonal phase takes the same form as in flat space with the powers of center-of-mass energy replaced by weight-shifting operators on the celestial sphere. We independently compute the celestial two-point function for a scalar propagating in a shockwave background and show that to leading order in the gravitational coupling and for a suitable choice of the source, the result agrees with the prediction from the celestial eikonal formula for graviton exchange. We demonstrate that this two-point function can be directly obtained from the corresponding formula in AdS$_4$ in a flat space limit. We finally establish a general relation between scalar celestial amplitudes in celestial CFT$_{d-1}$ and the flat space limit of scalar AdS$_{d+1}$ Witten diagrams.
