Resurgence of the cusp anomalous dimension

Dorigoni, D.; Hatsuda, Y.

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