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Resurgence of the cusp anomalous dimension

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I will 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 at strong coupling. I will analyze its resurgent aspect: the perturbative and non-perturbative parts are closely interrelated. Solving the Beisert- Eden-Staudacher equation systematically analyzing in detail the large order behavior in the perturbative strong coupling expansion will show that the non-perturbative information is indeed encoded there. An ambiguity of (lateral) Borel resummations is precisely canceled by the contributions from the perturbative and non-perturbative sectors.

This talk is part of the Quantum Fields and Strings Seminars series.

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