Gluon scattering amplitudes at strong coupling

By L. Alday, J. Maldacena. 2007

1,048 citations recorded by the source corpus.

We describe how to compute planar gluon scattering amplitudes at strong coupling in = 4 super Yang Mills by using the gauge/string duality. The computation boils down to finding a certain classical string configuration whose boundary conditions are determined by the gluon momenta. The results are infrared divergent. We introduce the gravity version of dimensional regularization to define finite quantities. The leading and subleading IR divergencies are characterized by two functions of the coupling that we compute at strong coupling. We compute also the full finite form for the four point amplitude and we find agreement with a recent ansatz by Bern, Dixon and Smirnov.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/d651281882a3e911e1b1318f331df46e0aaa5484

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In Nuclear and High Energy Physics

1. S. Caron-Huot
2. J. Maldacena
3. L. Alday
4. R. Roiban
5. L. Dixon
6. J. Drummond
7. P. Vieira
8. N. Arkani-Hamed

Citations in the corpus

• Heptagons from the Steinmann cluster bootstrap (2016, background): “e BDS ansatz captures all the infrared and collinear divergences [75{77] in the planar amplitude, so the remainder function is infrared nite. It is also invariant under dual conformal transformations [16{19,21]. Moreover, since the BDS ansatz accounts for collinear factorization to all orders in per”
• Y-system for scattering amplitudes (2010, methodology): “At strong ’t Hooft coupling we can compute this in terms of the area of the minimal surface that ends on the polygonal contour [7].”
• Comments on gluon scattering amplitudes via AdS/CFT (2007, methodology): “As opposed to the situation considered in [1], this sequence is not closed.”
• Generalized quark-antiquark potential at weak and strong coupling (2011, background): “When the asymptotic boundary is along light-like segments, they are related by T-duality to scattering amplitudes [1].”
• Non-Abelian T-duality and the AdS/CFT correspondence: New N=1 backgrounds (2013, background): “[1, 2]; the T-s-T transformations that are the string analogue of β-deformations in gauge theory [3] and which can also be used to construct gravity duals for some non-relativistic field theories [4, 5, 6]; the use of G structure rotations to obtain solutions with/without back-reacted source branes ”
• From Gauge-string duality to strong interactions: A Pedestrian's guide (2009, background): “Also, we have altogether omitted some important developments, notably the work on anomalous dimensions of long operators (see for example (6)); string descriptions of gluon scattering (7); bottom-up approaches to holographic models of confine-”
• Space-time S-matrix and flux tube S-matrix II. Extracting and matching data (2013, background): “The usual Wilson loop computes maximal helicity violating (MHV) amplitudes [4, 5].”
• Dual superconformal symmetry from AdS5xS5 superstring integrability (2008, background): “than a QS-gauge and to perform the fermionic duality along the - instead of the -directions. 24 amplitudes in terms of correlators of open-string vertex operators inserted on an IR D3-brane as in [12] (see also [40] for a review). For that, one would have to specify, in particular, the boundary cond”
• Dual superconformal invariance, momentum twistors and Grassmannians (2009, methodology): “Inspired by the AdS/CFT correspondence [16] it was shown in [38,39] that the expectation value of a Wilson loop stretched along this polygonal contour reproduces the MHV amplitude(2).”
• Looking for a bulk point (2015, background): “High energy scattering amplitudes in AdS were considered in [21], where it was found that the amplitude behaves as exp(−(logω)2ĥ) for large energies, where ĥ is a positive function of the angles.”
• Light-Front Dynamics and AdS/QCD Correspondence: The Pion Form Factor in the Space- and Time-Like Regions (2007, background): “and gluon scattering amplitudes at strong coupling [25].”
• Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, methodology): “(14)Notice that we interchanged the notation for original and dual variables with respect to the one used in [60].”
• Hexagon functions and the three-loop remainder function (2013, background): “In particular, the amplitudes exhibit dual conformal symmetry and a duality to light-like polygonal Wilson loops [9–14].”