论文标题
在n = 4 sym和n = 8超级振幅的四点振幅限制之间的三环关系的证明
Proof of a three-loop relation between the Regge limits of four-point amplitudes in N=4 SYM and N=8 supergravity
论文作者
论文摘要
先前提出的全环关系在三环级别建立了N = 4超对称的Yang-Mills理论的四点振幅和N = 8 Supergravity之间的四点振幅之间的全环关系。我们表明，使用广义单位性获得的幅度的已知表达式的regge限制在两种情况下都简化为在三环梯子和交叉梯度标量图上的（修改）总和。反过来，这与使用四点重力振幅的艾科尼尔表示获得的结果一致。还考虑了四点振幅之间可能的精确三环关系。
A previously proposed all-loop-orders relation between the Regge limits of four-point amplitudes of N=4 supersymmetric Yang-Mills theory and N=8 supergravity is established at the three-loop level. We show that the Regge limit of known expressions for the amplitudes obtained using generalized unitarity simplifies in both cases to a (modified) sum over three-loop ladder and crossed-ladder scalar diagrams. This in turn is consistent with the result obtained using the eikonal representation of the four-point gravity amplitude. A possible exact three-loop relation between four-point amplitudes is also considered.
