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Quantum Spectral Curve and Structure Constants in N = 4 SYM: cusps in the Ladder Limit

Research output: Contribution to journalArticlepeer-review

Andrea Cavaglia, Nikolay Gromov, Fedor Levkovich-Maslyuk

Original languageEnglish
Pages (from-to)1-66
JournalJournal of High Energy Physics
Volume2018
Issue number10
Early online date9 Oct 2018
DOIs
Accepted/In press24 Sep 2018
E-pub ahead of print9 Oct 2018
PublishedOct 2018

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Abstract

We find a massive simplification in the non-perturbative expression for the structure constant of Wilson lines with 3 cusps when expressed in terms of the key Quantum Spectral Curve quantities, namely Q-functions. Our calculation is done for the configuration of 3 cusps lying in the same plane with arbitrary angles in the ladders limit. This provides strong evidence that the Quantum Spectral Curve is not only a highly efficient tool for finding the anomalous dimensions but also encodes correlation functions with all wrapping corrections taken into account to all orders in the ‘t Hooft coupling. We also show how to study the insertions of scalars coupled to the Wilson lines and extend our results for the spectrum and the structure constants to this case. We discuss an OPE expansion of two cusps in terms of these states. Our results give additional support to the Separation of Variables strategy in solving the planar N=4 SYM theory.

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