Double Copy for Celestial Amplitudes.
Double Copy for Celestial Amplitudes.
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天体振幅的双重副本。
作者：
Eduardo Casali;A. Puhm
使用共形主波函数而不是平面波作为外部状态的天体振幅提供了一个新的机会来研究具有明显共形协方差的振幅特性，并深入了解渐近平坦空间零边界处的潜在全息天体共形场理论。由于平移不变性在共形基础中被掩盖，严重依赖它的振幅特征似乎丢失了。其中包括规范理论和重力振幅之间的显着关系，即所谓的双副本。然而，反映量子场论微扰机制基本方面的振幅特性预计将在基础发生变化时继续存在。在这里，我们表明存在一个明确定义的天体双副本过程。这需要对通常的分子平方进行推广，这需要首先将它们提升为作用于外部波函数的广义微分算子，然后对它们进行平方。我们演示了三点和四点天体振幅的这个过程，并给出了其对所有多重性的有效性的论证。
Celestial amplitudes which use conformal primary wave functions rather than plane waves as external states offer a novel opportunity to study properties of amplitudes with manifest conformal covariance and give insight into a potential holographic celestial conformal field theory at the null boundary of asymptotically flat space. Since translation invariance is obscured in the conformal basis, features of amplitudes that heavily rely on it appear to be lost. Among these are the remarkable relations between gauge theory and gravity amplitudes known as the double copy. Nevertheless, properties of amplitudes reflecting fundamental aspects of the perturbative regime of quantum field theory are expected to survive a change of basis. Here we show that there exists a well-defined procedure for a celestial double copy. This requires a generalization of the usual squaring of numerators which entails first promoting them to generalized differential operators acting on external wave functions and then squaring them. We demonstrate this procedure for three- and four-point celestial amplitudes and give an argument for its validity to all multiplicities.