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Résumé |
The talk will consist of two parts. The first part is based on the paper 1504.07133, where we considered the
heavy-heavy-light (HHL) correlation functions at weak coupliing in su(2) sector of N=4 SYM and analysed its
volume dependence. Recently this kind of three-point functions were studied at strong coupling by Bajnok,
Janik and Wereszczynski (1404.4556). Relying on the results from form factor theory (0706.3605) they
conjectured the asymptotic finite volume dependence of the symmetric HHL correlators in su(2) sector of
N=4 SYM to be valid at any order in the coupling constant. In our work we proved this conjecture at tree level
and worked out explicitly several simplest cases. The second part is based on the results of our ongoing
project, where we are extending our results to higher loops using recently proposed hexagon program
technique (1505.06745). |
