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Resurgence of the cusp anomalous dimension.

Dorigoni, D. and Hatsuda, Y. (2015) 'Resurgence of the cusp anomalous dimension.', Journal of high energy physics., 2015 (09). p. 138.

Abstract

We revisit the strong coupling limit of the cusp anomalous dimension in planar N=4N=4 super Yang-Mills theory. It is known that the strong coupling expansion is asymptotic and non-Borel summable. As a consequence, the cusp anomalous dimension receives non-perturbative corrections, and the complete strong coupling expansion should be a resurgent transseries. We reveal that the perturbative and non-perturbative parts in the transseries are closely interrelated. Solving the Beisert-Eden-Staudacher equation systematically, we analyze in detail the large order behavior in the strong coupling pertur- bative expansion and show that the non-perturbative information is indeed encoded there. An ambiguity of (lateral) Borel resummations of the perturbative expansion is precisely canceled by the contributions from the non-perturbative sectors, and the final result is real and unambiguous.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1007/JHEP09(2015)138
Publisher statement:Open Access, © The Author(s). 2015 Article funded by SCOAP3. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Date accepted:01 September 2015
Date deposited:30 March 2016
Date of first online publication:21 September 2015
Date first made open access:No date available

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