Resurgence of the cusp anomalous dimension

Dorigoni, D.; Hatsuda, Y.

doi:10.1007/jhep09(2015)138

Resurgence of the cusp anomalous dimension

Dorigoni, D.; Hatsuda, Y.

Authors

Dr Daniele Dorigoni daniele.dorigoni@durham.ac.uk
Associate Professor

Y. Hatsuda

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.

Citation

Dorigoni, D., & Hatsuda, Y. (2015). Resurgence of the cusp anomalous dimension. Journal of High Energy Physics, 2015(09), Article 138. https://doi.org/10.1007/jhep09%282015%29138

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
DOI	https://doi.org/10.1007/jhep09%282015%29138
Related Public URLs	http://arxiv.org/abs/1506.03763

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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.