Casali Eduardo, Puhm Andrea
Center for Quantum Mathematics and Physics (QMAP) and Department of Physics, University of California, Davis, California 95616, USA.
CPHT, CNRS, Ecole Polytechnique, IP Paris, F-91128 Palaiseau, France.
Phys Rev Lett. 2021 Mar 12;126(10):101602. doi: 10.1103/PhysRevLett.126.101602.
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.
天体振幅使用共形原初波函数而非平面波作为外部态，这为研究具有明显共形协变性的振幅性质提供了一个新机会，并深入了解渐近平坦空间零边界处潜在的全息天体共形场论。由于在共形基中平移不变性被模糊，严重依赖它的振幅特征似乎丢失了。其中包括规范理论与引力振幅之间著名的双拷贝关系。然而，反映量子场论微扰 regime基本方面的振幅性质预计在基的变换下仍然存在。在这里，我们表明存在一个明确的天体双拷贝程序。这需要对分子的通常平方进行推广，这首先需要将它们提升为作用于外部波函数的广义微分算子，然后再对其进行平方。我们针对三点和四点天体振幅演示了这个程序，并论证了其对所有多重性的有效性。
