标题： 规范和引力幅度在天球上 显示英文标题

标题： Gauge and Gravity Amplitudes on the Celestial Sphere

摘要： 研究了规范理论和引力中散射振幅在天球上的解析结构。 通过采用受控梅林变换计算的两种理论中的天球振幅可以在低多重性下进行比较。 通过直接计算确定，在最多五个外部粒子的情况下，Kawai、Lewellen 和 Tye 的双重复制关系仍然严格成立，仅需考虑某些显式确定的乘法因子。 在整个过程中使用了振幅的超对称表示，在天球上体现了$\mathcal{N}=4$超杨-米尔斯理论与$\mathcal{N}=8$超引力之间的双重复制结构。 显示英文摘要

摘要： The analytic structures of scattering amplitudes in gauge theory and gravity are examined on the celestial sphere. The celestial amplitudes in the two theories - computed by employing a regulated Mellin transform - can be compared at low multiplicity. It is established by direct computation that up to five external particles, the double copy relations of Kawai, Lewellen and Tye continue to hold identically, modulo certain multiplicative factors which are explicitly determined. Supersymmetric representations of the amplitudes are utilized throughout, manifesting the double copy structure between $\mathcal{N}=4$ super Yang-Mills and $\mathcal{N}=8$ supergravity on the celestial sphere.