Work

Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory

Year: 2003

Type: article

Abstract: 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.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.91.251602

Authors: C. Anastasiou, L. Dixon, Z. Bern, D. A. Kosower

Institutions: SLAC National Accelerator Laboratory, Stanford University, University of California, Los Angeles

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: U.S. Department of Energy

Awards: G1325202077, G2371548206, NEW GRANT - PREVIOUSLY CONTRACT # DE-AT03-88ER40384. HIGH RATE TRACKING SUBSYSTEM FOR SSC DETECTORS USING SCINTILLATING FIBERS - PI - ATAC