Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-09-03
Phys.Rev.Lett.91:251602,2003
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, 2 figures, uses revtex. v2: references added. v3: reference added, normalizations corrected
Scientific paper
10.1103/PhysRevLett.91.251602
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 AdS/CFT correspondence that the form of the large N_c L-loop amplitudes should be simple enough to allow a resummation to all orders.
Anastasiou Charalampos
Bern Zvi
Dixon Lance
Kosower David A.
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