论文标题
卷积双副本：一个案例研究
The convolutional double copy: a case study with a point
论文作者
论文摘要
双拷贝将量表和重力理论中的散射幅度相关联。它也已扩展到古典解决方案，并为此开发了许多方法。其中之一涉及以各种（超级）重力理论的卷积来表达田地，包括brst鬼自由程度，它们整齐地映射到其相应的重力对应物。在本文中，我们阐明了如何使用卷积双副本分别在明显的洛伦兹和de donder仪表中绘制量规和重力解决方案。然后，我们将其应用于一个特定的示例，即纯仪表理论中的点电荷。除了澄清如何使用卷积方法外，我们的结果还提供了关于点电荷是映射到Schwarzschild解决方案的最新讨论的另一种观点，还是更通用的两参数JNW解决方案，该解决方案包括Dilaton领域。我们确认后者。
The double copy relates scattering amplitudes in gauge and gravity theories. It has also been extended to classical solutions, and a number of approaches have been developed for doing so. One of these involves expressing fields in a variety of (super-)gravity theories in terms of convolutions of gauge fields, including also BRST ghost degrees of freedom that map neatly to their corresponding counterparts in gravity. In this paper, we spell out how to use the convolutional double copy to map gauge and gravity solutions in the manifest Lorenz and de Donder gauges respectively. We then apply this to a particular example, namely the point charge in pure gauge theory. As well as clarifying how to use the convolutional approach, our results provide an alternative point of view on a recent discussion concerning whether point charges map to the Schwarzschild solution, or the more general two-parameter JNW solution, which includes a dilaton field. We confirm the latter.
