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Resurgence of the dressing phase for AdS5 × S5

Arutyunov, G.; Dorigoni, D.; Savin, S.

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Authors

G. Arutyunov

S. Savin



Abstract

We discuss the resummation of the strong coupling asymptotic expansion of the dressing phase of the AdS5 × S5 superstring. The dressing phase proposed by Beisert, Eden and Staudacher can be recovered from a modified Borel-Ecalle resummation of this asymptotic expansion only by completing it with new, non-perturbative and exponentially suppressed terms that can be organized into different sectors labelled by an instanton-like number. We compute the contribution to the dressing phase coming from the sum over all the instanton sectors and show that it satisfies the homogeneous crossing symmetry equation. We comment on the semiclassical origin of the non-perturbative terms from the world-sheet theory point of view even though their precise explanation remains still quite mysterious.

Citation

Arutyunov, G., Dorigoni, D., & Savin, S. (2017). Resurgence of the dressing phase for AdS5 × S5. Journal of High Energy Physics, 2017(01), Article 055. https://doi.org/10.1007/jhep01%282017%29055

Journal Article Type Article
Acceptance Date Dec 16, 2016
Online Publication Date Jan 13, 2017
Publication Date Jan 13, 2017
Deposit Date Mar 3, 2017
Publicly Available Date Mar 29, 2024
Journal Journal of High Energy Physics
Print ISSN 1126-6708
Publisher Scuola Internazionale Superiore di Studi Avanzati (SISSA)
Peer Reviewed Peer Reviewed
Volume 2017
Issue 01
Article Number 055
DOI https://doi.org/10.1007/jhep01%282017%29055

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Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Open Access, © The Author(s). 2017 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.





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