Hexagon OPE Resummation and Multi-Regge Kinematics

Autor: Drummond, J. M., Papathanasiou, G.
Rok vydání: 2015
Předmět:
Druh dokumentu: Working Paper
DOI: 10.1007/JHEP02(2016)185
Popis: We analyse the OPE contribution of gluon bound states in the double scaling limit of the hexagonal Wilson loop in planar N=4 super Yang-Mills theory. We provide a systematic procedure for perturbatively resumming the contributions from single-particle bound states of gluons and expressing the result order by order in terms of two-variable polylogarithms. We also analyse certain contributions from two-particle gluon bound states and find that, after analytic continuation to the $2\to 4$ Mandelstam region and passing to multi-Regge kinematics (MRK), only the single-particle gluon bound states contribute. From this double-scaled version of MRK we are able to reconstruct the full hexagon remainder function in MRK up to five loops by invoking single-valuedness of the results.
Comment: 29 pages, 3 figures, 4 ancillary files
Databáze: arXiv