MHV amplitudes in N=4 super Yang-Mills and Wilson loops
By A. Brandhuber, P. Heslop, G. Travaglini. 2007
564 citations recorded by the source corpus.
Abstract It is a remarkable fact that MHV amplitudes in maximally supersymmetric Yang–Mills theory at arbitrary loop order can be written as the product of the tree amplitude with the same helicity configuration and a universal, helicity-blind function of the kinematic invariants. In this note we show how for one-loop MHV amplitudes with an arbitrary number of external legs this universal function can be derived using Wilson loops. Our result is in precise agreement with the known expression for the infinite sequence of MHV amplitudes in N = 4 super-Yang–Mills. In the four-point case, we are able to reproduce the expression of the amplitude to all orders in the dimensional regularisation parameter ϵ. This prescription disentangles cleanly infrared divergences and finite terms, and leads to an intriguing one-to-one mapping between certain Wilson loop diagrams and (finite) two-mass easy box functions.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/9290b632c1e91c84cd8e27c5de19099912af8bf7
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
- From correlation functions to scattering amplitudes (2010, background): “14) are quite complicated, their sum F (2) A can be found in a closed form thanks to the remarkable duality between MHV amplitudes and light-like Wilson loops [2, 3, 4].”
- 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].”
- Scattering amplitudes, Wilson loops and the string/gauge theory correspondence (2008, methodology): “Before proceeding let us remark that, from the details described above following [105, 130], it is apparent that the one-loop expectation value of the Wilson loop under discussion is entirely independent on the matter content of the gauge theory it is evaluated in.”
- The hexagon Wilson loop and the BDS ansatz for the six-gluon amplitude (2007, background): “41 38 v2 [ 1UMR 5108 associée à l’Université de Savoie 2Unité Mixte de Recherche du CNRS (UMR 8627)”
- Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes (2007, unknown): “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 ).”
- An operator product expansion for polygonal null Wilson loops (2010, background): “Our main motivation is the relation between Wilson loops and amplitudes in N = 4 super Yang Mills [2–6].”
- A Note on dual superconformal symmetry of the N=4 super Yang-Mills S-matrix (2008, unknown): “1 {a.brandhuber, p.j.heslop, g.travaglini}@qmul.ac.uk”
- 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.”
- Bootstrapping an NMHV amplitude through three loops (2014, background): “In addition, empirical results have led to the discovery of many hidden properties of planar N = 4 SYM, such as dual (super)conformal invariance [8–12], and the amplitude-Wilson-loop duality [11, 13–16].”