Bern Z, Carrasco J J M, Dixon L J, Johansson H, Roiban R
Department of Physics and Astronomy, UCLA, Los Angeles, California 90095-1547, USA.
Phys Rev Lett. 2009 Aug 21;103(8):081301. doi: 10.1103/PhysRevLett.103.081301. Epub 2009 Aug 17.
We describe the construction of the complete four-loop four-particle amplitude of N=8 supergravity. The amplitude is ultraviolet finite, not only in four dimensions, but in five dimensions as well. The observed extra cancellations provide additional nontrivial evidence that N=8 supergravity in four dimensions may be ultraviolet finite to all orders of perturbation theory.
我们描述了N = 8超引力的完整四圈四粒子振幅的构建。该振幅不仅在四维是紫外有限的,在五维也是如此。所观察到的额外抵消提供了额外的重要证据,表明四维的N = 8超引力在微扰理论的所有阶次下可能都是紫外有限的。