Planar Amplitudes in Maximally Supersymmetric Yang-Mills Theory
- SLAC
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{sub c} L-loop amplitudes should be simple enough to allow a resummation to all orders.
- Research Organization:
- Stanford Linear Accelerator Center, Menlo Park, CA (US)
- Sponsoring Organization:
- USDOE Office of Science (US)
- DOE Contract Number:
- AC03-76SF00515
- OSTI ID:
- 815610
- Report Number(s):
- SLAC-PUB-10157
- Country of Publication:
- United States
- Language:
- English
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