标题： 引力子-引力子散射，Bel-Robinson和能量（伪）张量 显示英文标题

标题： Graviton-Graviton Scattering, Bel-Robinson and Energy (Pseudo)-Tensors

摘要： 受涉及引力子-引力子树散射振幅的最新工作以及其作为Bel-Robinson张量平方的双描述的启发，$B_{\m\n\a\b}$，以及作为引力能伪张量的“电流-电流相互作用”平方$t_{\a\b}$，我们发现了一个精确的张量平方根等式$B_{\mn\a\b} = \pa^2_\mn t_{\a\b}$，对于爱因斯坦和Landau-Lifschitz$t_\ab$的组合，在黎曼规范坐标中。 在此过程中，我们将通常用于分类伪张量的超势基与由曲率多项式张成的一个基联系起来。 显示英文摘要

摘要： Motivated by recent work involving the graviton-graviton tree scattering amplitude, and its twin descriptions as the square of the Bel-Robinson tensor, $B_{\m\n\a\b}$, and as the "current-current interaction" square of gravitational energy pseudo-tensors $t_{\a\b}$,we find an exact tensor-square root equality $B_{\mn\a\b} = \pa^2_\mn t_{\a\b}$, for a combination of Einstein and Landau-Lifschitz $t_\ab$, in Riemann normal coordinates. In the process, we relate, on-shell, the usual superpotential basis for classifying pseudo-tensors with one spanned by polynomials in the curvature.