Hexagon Wilson loop = six-gluon MHV amplitude
By J. Drummond, J. Henn, G. Korchemsky, E. Sokatchev. 2008
390 citations recorded by the source corpus.
Abstract We compare the two-loop corrections to the finite part of the light-like hexagon Wilson loop with the recent numerical results for the finite part of the MHV six-gluon amplitude in N = 4 SYM theory by Bern, Dixon, Kosower, Roiban, Spradlin, Vergu and Volovich ( arXiv:0803.1465 [hep-th] ) and demonstrate that they coincide within the error bars and, at the same time, they differ from the BDS ansatz by a non-trivial function of (dual) conformal kinematical invariants. This provides strong evidence that the Wilson loop/scattering amplitude duality holds in planar N = 4 SYM theory to all loops for an arbitrary number of external particles.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/45b0cdb2af096bb2d8f901e7841566a1a8499f58
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In Nuclear and High Energy Physics
Citations in the corpus
- Fermionic T-Duality, Dual Superconformal Symmetry, and the Amplitude/Wilson Loop Connection (2008, background): “In other words, on the basis of the perturbative computations done in [3,4,9,10], we expect that the relation is à ∣∣ κ=0 = 1 ∏n i=1(πiπi+1) 〈W (k1, · · · , kn)〉 (4.”
- The four-loop six-gluon NMHV ratio function (2015, background): “The first such function, the remainder function, R6(u, v, w), is defined to be the maximally-helicity-violating (MHV) all-gluon amplitude divided by the BDS ansatz [18, 19].”
- From correlation functions to scattering amplitudes (2010, background): “This is similar to the test of the Wilson loop/amplitude duality at six points and two loops [7, 8].”
- Space-time S-matrix and flux tube S-matrix II. Extracting and matching data (2013, background): “The remainder function logR is defined as the logarithm of the ratio between the amplitude and the BDS ansatz [16,50]”
- A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix (2008, neutral): “to the Ward identity is actually unique up to a finite constant, whereas for n ≥ 6 particles, there is room for a conformally invariant discrepancy function, compared to the BDS ansatz, which was indeed found to be nonzero in [ 10 ,14].”
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2007, methodology): “bove mentioned simplification which could eventually lead to (67). In what follows, we describe the main steps of the calculation of the pentagon (n = 5) Wilson loop and refer the interested reader to [35] for more details. To start with, let us introduce an auxiliary Feynman integral that will play ”
- Single-valued harmonic polylogarithms and the multi-Regge limit (2012, methodology): “Numerical evidence was found soon thereafter for a nonvanishing two-loop coefficient R (2) 6 for generic nonsingular kinematics [14], in agreement with the numerical values found simultaneously for the corresponding hexagonal Wilson loop [15].”
- 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].”
- Classical polylogarithms for amplitudes and Wilson loops. (2010, background): “Numerical agreement between the two remainder functions was established in [1, 11].”
- Bootstrapping the three-loop hexagon (2011, background): “The form of our ansatz is certainly sufficient at the two-loop level, because the remainder function is explicitly known [6, 7, 32, 33, 35], and its symbol is indeed of this form [35].”