Resurgence of the Cusp Anomalous Dimension
Abstract
We revisit the strong coupling limit of the cusp anomalous dimension in planar N=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 perturbative 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,
Keywords
Cite
@article{arxiv.1506.03763,
title = {Resurgence of the Cusp Anomalous Dimension},
author = {Daniele Dorigoni and Yasuyuki Hatsuda},
journal= {arXiv preprint arXiv:1506.03763},
year = {2015}
}
Comments
42 pages, 3 figures