2020/04/22 by Davide Fioravanti, Marco Rossi, Hongfei Shu
Physics and Astronomy · Mathematics · #hep-th #math-ph #math.MP #nlin.SI
paper · pdf · doi:10.1007/jhep12(2020)086
Latex, 22 pages
arxiv created 2020/04/22 · arxiv updated 2020/12/30
We provide the two fundamental sets of functional relations which describe the strong coupling limit of scattering amplitudes in N = 4 SYM dual to Wilson loops in AdS3: the basic QQ-system and the derived TQ-system. We use the TQ relations and the knowledge of the main properties of the Q-function (eigenvalue of some Q-operator) to write the Bethe Ansatz equations, \it viz. a set of ('complex') non-linear-integral equations, whose solutions give exact values to the strong coupling amplitudes/Wilson loops. Moreover, they have some advantages with respect to the ('real') non-linear-integral equations of Thermodynamic Bethe Ansatz and still reproduce, both analytically and numerically, the findings coming from the latter. In any case, these new functional and integral equations give a larger perspective on the topic.