Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA.
Phys Rev Lett. 2010 Aug 6;105(6):061602. doi: 10.1103/PhysRevLett.105.061602. Epub 2010 Aug 3.
In a previous paper we observed that (classical) tree-level gauge-theory amplitudes can be rearranged to display a duality between color and kinematics. Once this is imposed, gravity amplitudes are obtained using two copies of gauge-theory diagram numerators. Here we conjecture that this duality persists to all quantum loop orders and can thus be used to obtain multiloop gravity amplitudes easily from gauge-theory ones. As a nontrivial test, we show that the three-loop four-point amplitude of N=4 super-Yang-Mills theory can be arranged into a form satisfying the duality, and by taking double copies of the diagram numerators we obtain the corresponding amplitude of N=8 supergravity. We also remark on a nonsupersymmetric two-loop test based on pure Yang-Mills theory resulting in gravity coupled to an antisymmetric tensor and dilaton.
在之前的一篇论文中，我们观察到（经典）树图规范理论振幅可以重新排列，以显示颜色和运动学之间的对偶性。一旦施加这种对偶性，就可以使用规范理论图的两个副本的分子来获得引力振幅。在这里，我们推测这种对偶性一直持续到所有量子环阶，因此可以很容易地从规范理论振幅中获得多环引力振幅。作为一个非平凡的测试，我们表明 N=4 超杨-米尔斯理论的三圈四点振幅可以排列成满足对偶性的形式，并且通过取图分子的双副本，我们得到了对应的 N=8 超引力振幅。我们还提到了一个基于纯杨-米尔斯理论的非超对称两圈测试，结果是引力耦合到反对称张量和膨胀子。
