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Resurgence of the cusp anomalous dimension

Dorigoni, D.; Hatsuda, Y.

Resurgence of the cusp anomalous dimension Thumbnail


Y. Hatsuda


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.


Dorigoni, D., & Hatsuda, Y. (2015). Resurgence of the cusp anomalous dimension. Journal of High Energy Physics, 2015(09), Article 138.

Journal Article Type Article
Acceptance Date Sep 1, 2015
Online Publication Date Sep 21, 2015
Publication Date Sep 21, 2015
Deposit Date Dec 30, 2015
Publicly Available Date Mar 30, 2016
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2015
Issue 09
Article Number 138
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Copyright 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.

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