Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory | Zendy

Charalampos Anastasiou | Zendy; Lance J. Dixon | Zendy; Zvi Bern | Zendy; David A. Kosower | Zendy

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Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory

Author(s) -

Charalampos Anastasiou,

Lance J. Dixon,

Zvi Bern,

David A. Kosower

Publication year - 2003

Publication title -

physical review letters

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 3.688

H-Index - 673

eISSN - 1079-7114

pISSN - 0031-9007

DOI - 10.1103/physrevlett.91.251602

Subject(s) - scattering amplitude , physics , factorization , resummation , mathematical physics , amplitude , conjecture , yang–mills theory , conformal field theory , conformal map , planar , supersymmetry , loop (graph theory) , quantum electrodynamics , gauge theory , quantum mechanics , mathematical analysis , mathematics , pure mathematics , combinatorics , quantum chromodynamics , computer graphics (images) , algorithm , computer science

The collinear factorization properties of two-loop scattering amplitudes indimensionally-regulated N=4 super-Yang-Mills theory suggest that, in the planar('t Hooft) limit, higher-loop contributions can be expressed entirely in termsof one-loop amplitudes. We demonstrate this relation explicitly for thetwo-loop four-point amplitude and, based on the collinear limits, conjecture ananalogous relation for n-point amplitudes. The simplicity of the relation isconsistent with intuition based on the AdS/CFT correspondence that the form ofthe large N_c L-loop amplitudes should be simple enough to allow a resummationto all orders.Comment: 5 pages, 2 figures, uses revtex. v2: references added. v3: reference added, normalizations correcte

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