Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory

作者：Charalampos Anastasiou, Lance J. Dixon, Zvi Bern, David A. Kosower · 发表于：Physical Review Letters · 年份：2003 · DOI：10.1103/physrevlett.91.251602 · 被引用次数：366 · 研究领域：Black Holes and Theoretical Physics、Particle physics theoretical and experimental studies、Quantum Chromodynamics and Particle Interactions

The collinear factorization properties of two-loop scattering amplitudes in dimensionally regulated N=4 super-Yang-Mills theory suggest that, in the planar ('t Hooft) limit, higher-loop contributions can be expressed entirely in terms of one-loop amplitudes. We demonstrate this relation explicitly for the two-loop four-point amplitude and, based on the collinear limits, conjecture an analogous relation for n-point amplitudes. The simplicity of the relation is consistent with intuition based on the anti-de Sitter/conformal field theory correspondence that the form of the large-N(c) L-loop amplitudes should be simple enough to allow a resummation to all orders.