Comments on gluon scattering amplitudes via AdS/CFT
By L. Alday, J. Maldacena. 2007
429 citations recorded by the source corpus.
In this article we consider n gluon color ordered, planar amplitudes in = 4 super Yang Mills at strong 't Hooft coupling. These amplitudes are approximated by classical surfaces in AdS5 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, TrPeiA, with no couplings to the scalars. We also evaluate the quark-antiquark potential at two loops.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/0a535d4e2b2c931c6f336f9c91eba81b19fd1b0a
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Nuclear and High Energy Physics
Citations in the corpus
- Generalized quark-antiquark potential at weak and strong coupling (2011, background): “This takes the Wilson loop slightly away from the locally BPS condition [15], whose string theory interpretation was given in [30, 31].”
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2007, neutral): “Thinking about W ( C n ) as a function of the cusp points we observe that it has the following symmetry where the first relation is a consequence the cyclic property of the trace on the right-hand side of (4), while the second relation follows from reality condition ( W ( C n )) ∗ = W ( C n ).”
- Single-valued harmonic polylogarithms and the multi-Regge limit (2012, background): “2) The need for a nonzero remainder function Rn for Wilson loops was first indicated by the strongcoupling behavior of polygonal loops corresponding to amplitudes with a large number of gluons n [6].”
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude (2007, background): “In the limit n → ∞ the strong coupling prediction for ln Mn disagrees with the BDS conjecture [ 6 ].”
- From correlation functions to event shapes (2013, background): “The latter can be found using integrability techniques, the so-called Y − system [67, 68, 69, 70]. number This leads to the exponential fall-off X O 0 ∼ e −√ a Area( X ) for any of particles in the final state | X . the need h | | i i Thus, in order to calculate event shapes (1.1) at leading order at…”
- Notes on the scattering amplitude — Wilson loop duality (2010, background): “They confirmed the BDS Ansatz at 4- and 5-points but observed deviations for sufficiently large number of particles [10]; deviations at 6 points were also deduced from investigation of Regge limits [11].”
- Hexagon functions and the three-loop remainder function (2013, background): “J H E P 1 2 ( 2 0 1 3 ) 0 4 9 Dual conformal symmetry implies that the amplitudes involving four or five particles are fixed, because there are no invariant cross ratios that can be formed from a five-sided light-like polygon [19–21].”
- Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, background): “The connection that was found in [2] was apparently valid only at leading order in the strong coupling expansion.”
- An operator product expansion for polygonal null Wilson loops (2010, background): “In fact, it constrains the so called remainder function [6, 12–14] which contains the conformal invariant information on the Wilson loop correlator.”
- The all-loop integrand for scattering amplitudes in planar $ \mathcal{N} = 4 $ SYM (2010, background): “Further discussion of these objects and their role in determining IR-finite parts of amplitudes like the remainder [19] and ratio [76] functions will be carried out in [63].”
- From correlation functions to Wilson loops (2010, background): “2) have been intensively studied during the past few years due to their connection with scattering amplitudes in N = 4 super-Yang-Mills [7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17].”