Comments on gluon scattering amplitudes via AdS/CFT
arXiv:0710.1060 · doi:10.1088/1126-6708/2007/11/068
Abstract
In this article we consider n gluon color ordered, planar amplitudes in N=4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS_5 space. We compute the value of the amplitude for a particular kinematic configuration for a large number of gluons and find that the result disagrees with a recent guess for the exact value of the amplitude. Our results are still compatible with a possible relation between amplitudes and Wilson loops. In addition, we also give a prescription for computing processes involving local operators and asymptotic states with a fixed number of gluons. As a byproduct, we also obtain a string theory prescription for computing the dual of the ordinary Wilson loop, Tr P exp[ i\oint A ], with no couplings to the scalars. We also evaluate the quark-antiquark potential at two loops.
27 pages, 9 figures,v3:minor corrections
References in corpus (17)
- Gluon scattering amplitudes at strong coupling
- Transcendentality and Crossing
- Conformal properties of four-gluon planar amplitudes and Wilson loops
- MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
- The Four-Loop Planar Amplitude and Cusp Anomalous Dimension in Maximally Supersymmetric Yang-Mills Theory
- On planar gluon amplitudes/Wilson loops duality
- Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
- Cusp anomalous dimension in maximally supersymmetric Yang-Mills theory at strong coupling
- A Test of the AdS/CFT Correspondence Using High-Spin Operators
- Small deformations of supersymmetric Wilson loops and open spin-chains
- Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
- Regge behavior of gluon scattering amplitudes in N=4 SYM theory
- New Dual Conformally Invariant Off-Shell Integrals
- Infrared Limit of Gluon Amplitudes at Strong Coupling
- Planar quark scattering at strong coupling and universality
- Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS
- Some Implications of Perturbative Approach to AdS/CFT Correspondence
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- The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
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- Review of AdS/CFT Integrability, Chapter V.1: Scattering Amplitudes - a Brief Introduction
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