From correlation functions to Wilson loops

By L. Alday, B. Eden, G. Korchemsky, J. Maldacena, E. Sokatchev. 2010

249 citations recorded by the source corpus.

We start with an n−point correlation function in a conformal gauge theory. We show that a special limit produces a polygonal Wilson loop with n sides. The limit takes the n points towards the vertices of a null polygonal Wilson loop such that successive distances $ x_{i,i + 1}^2 \to 0 $. This produces a fast moving particle that generates a “frame” for the Wilson loop. We explainin detail how the limit is approached, including some subtle effects from the propagation of a fast moving particle in the full interacting theory. We perform perturbative checks by doing explicit computations in $ \mathcal{N} = 4 $ super-Yang-Mills theory.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/e157f1d6ea63911c57994f28ff727102e0ad2f5d

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In Nuclear and High Energy Physics

1. S. Caron-Huot
2. Marcos Mariño
3. L. Mason
4. J. Maldacena
5. Pavel Putrov
6. David Skinner
7. Tim Adamo
8. L. Alday

Citations in the corpus

• Convexity and liberation at large spin (2012, background): “This would be interesting to understand better, perhaps along the lines of [45].”
• The full four-loop cusp anomalous dimension in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{do (2019, unknown): “Let us consider a slightly more general object, namely the correlation function of the Wilson loop with the insertion of the Lagrangian normalized by 〈WA〉 [43, 46, 47] (see footnote 2)”
• From Weak to Strong Coupling in ABJM Theory (2010, background): “28) is the connected 8 Wilson loops arise out of dressing propagators of matter fields also in [57].”
• From correlation functions to scattering amplitudes (2010, methodology): “This approach was adopted in [32], where it was shown that the limit (2.”
• Scattering amplitudes and Wilson loops in twistor space (2011, methodology): “using a holomorphic version of the Migdal-Makeenko loop equations to recover the all-loop BCFW recursion. The extension of these ideas to the correspondence between Wilson loops and other correlators [32] can also be realized and extended supersymmetically in twistor space [11]. There were almost si”
• Notes on the scattering amplitude — Wilson loop duality (2010, background): “All this is as in [36], here we only have to”