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Hexagon OPE resummation and multi-Regge kinematics

Hexagon OPE resummation and multi-Regge kinematics
Hexagon OPE resummation and multi-Regge kinematics
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 → 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.
hep-th
1029-8479
Drummond, J. M.
3ea15544-457f-4e72-8ad0-60f3136841db
Papathanasiou, G.
bc9d1435-82d4-4f4c-ab79-5506974a194e
Drummond, J. M.
3ea15544-457f-4e72-8ad0-60f3136841db
Papathanasiou, G.
bc9d1435-82d4-4f4c-ab79-5506974a194e

Drummond, J. M. and Papathanasiou, G. (2016) Hexagon OPE resummation and multi-Regge kinematics. Journal of High Energy Physics, 2016 (2), [185]. (doi:10.1007/JHEP02(2016)185).

Record type: Article

Abstract

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 → 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.

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More information

Accepted/In Press date: 15 February 2016
e-pub ahead of print date: 29 February 2016
Published date: 29 February 2016
Additional Information: 29 pages, 3 figures, 4 ancillary files
Keywords: hep-th
Organisations: Theory Group

Identifiers

Local EPrints ID: 410451
URI: http://eprints.soton.ac.uk/id/eprint/410451
ISSN: 1029-8479
PURE UUID: 08c51fab-b24e-4861-9b11-f5c2b8946d9a

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Date deposited: 08 Jun 2017 16:31
Last modified: 21 Nov 2021 06:46

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Contributors

Author: J. M. Drummond
Author: G. Papathanasiou

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