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

Andrea Cavaglia; Nikolay Gromov; Fedor Levkovich-Maslyuk

doi:10.1007/JHEP10(2018)060

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

Andrea Cavaglia, Nikolay Gromov, Fedor Levkovich-Maslyuk

Research output: Contribution to journal › Article › peer-review

66 Citations (Scopus)

133 Downloads (Pure)

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.

Original language	English
Pages (from-to)	1-66
Journal	Journal of High Energy Physics
Volume	2018
Issue number	10
Early online date	9 Oct 2018
DOIs	https://doi.org/10.1007/JHEP10(2018)060
Publication status	Published - Oct 2018

Access to Document

10.1007/JHEP10(2018)060Licence: CC BY

Quantum Spectral Curve_CAVALIGLIA_Accepted28September2018Publishedonline9October2018_GOLD VoR (CC BY)Final published version, 1.67 MBLicence: CC BY

Cite this

@article{8cedc867875d4df3a7034b8a7fb341b1,

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

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 {\textquoteleft}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.",

author = "Andrea Cavaglia and Nikolay Gromov and Fedor Levkovich-Maslyuk",

year = "2018",

month = oct,

doi = "10.1007/JHEP10(2018)060",

language = "English",

volume = "2018",

pages = "1--66",

journal = "Journal of High Energy Physics",

issn = "1126-6708",

publisher = "IOP Publishing",

number = "10",

}

TY - JOUR

T1 - Quantum Spectral Curve and Structure Constants in N = 4 SYM

T2 - cusps in the Ladder Limit

AU - Cavaglia, Andrea

AU - Gromov, Nikolay

AU - Levkovich-Maslyuk, Fedor

PY - 2018/10

Y1 - 2018/10

N2 - 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.

AB - 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.

U2 - 10.1007/JHEP10(2018)060

DO - 10.1007/JHEP10(2018)060

M3 - Article

SN - 1126-6708

VL - 2018

SP - 1

EP - 66

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

ER -

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

Abstract

Access to Document

Fingerprint

Cite this