Space-time S-matrix and flux-tube S-matrix III. The two-particle contributions
By B. Basso, A. Sever, P. Vieira. 2014
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A bstractWe consider light-like Wilson loops with hexagonal geometry in the planar limit of N$$ \mathcal{N} $$ = 4 Super-Yang-Mills theory. Within the Operator-Product-Expansion framework these loops receive contributions from all states that can propagate on top of the colour flux tube sourced by any two opposite edges of the loops. Of particular interest are the two-particle contributions. They comprise virtual effects like the propagation of a pair of scalars, fermions, and gluons, on top of the flux tube. Each one of them is thoroughly discussed in this paper. Our main result is the prediction of all the twist-2 corrections to the expansion of the dual 6-gluons MHV amplitude in the near-collinear limit at finite coupling. At weak coupling, our result was recently used by Dixon, Drummond, Duhr and Pennington to predict the full amplitude at four loops. At strong coupling, it allows us to make contact with the classical string description and to recover the (previously elusive) AdS3 mode from the continuum of two-fermion states. More generally, the two-particle contributions serve as an exemplar for all the multi-particle corrections.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/1987b6900a704dad8514d4f73ce8f0b7fe332c89
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In Nuclear and High Energy Physics
Citations in the corpus
- A symbol of uniqueness: the cluster bootstrap for the 3-loop MHV heptagon (2014, background): “Having an explicit functional form for R (3) 7 would not only allow for detailed checks against the available predictions for its behaviour in the collinear [31, 33] and multi-Regge limits [51– 53], but would also shed light on yet unknown key quantities in these approaches.”