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arXiv · 1506.03763

Resurgence of the Cusp Anomalous Dimension

Daniele Dorigoni·Yasuyuki Hatsuda
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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,

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Daniele Dorigoni, Yasuyuki Hatsuda. 2015-06-11. Resurgence of the Cusp Anomalous Dimension. https://doi.org/10.1007/jhep09(2015)138

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