论文标题
为什么Weyl双复制在位置空间中本地？
Why is the Weyl double copy local in position space?
论文作者
论文摘要
双副本与仪表和重力理论中的动量空间散射幅度有关。它也已扩展到经典解决方案，在某些情况下，可以直接根据位置空间的田地产品制定精确的双复制。这似乎与双复制的动量空间起源不一致，并且为什么在位置空间中可能会有确切的双副本以及这种形式的问题在很大程度上尚未得到解答。在本文中，我们使用双复制版的最近开发的扭曲配方为这个问题提供了答案。我们表明，对于某些真空型D解决方案，动量空间，扭曲空间和位置空间的双副本等于同一件事，并且通过积分变换直接相关。位置空间中的局部性最终是动量空间三分幅度非常特殊的形式的结果，因此我们确认只有在高度代数特殊的空间中才有可能局部位置空间双复制。
The double copy relates momentum-space scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, where in some cases an exact double copy can be formulated directly in terms of products of fields in position space. This is seemingly at odds with the momentum-space origins of the double copy, and the question of why exact double copies are possible in position space and when this form will break has remained largely unanswered. In this paper, we provide an answer to this question, using a recently developed twistorial formulation of the double copy. We show that for certain vacuum type-D solutions, the momentum-space, twistor-space and position-space double copies amount to the same thing, and are directly related by integral transforms. Locality in position space is ultimately a consequence of the very special form of momentum-space three-point amplitudes, and we thus confirm suspicions that local position-space double copies are possible only for highly algebraically-special spacetimes.
