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Quark-anti-quark potential in=4 SYM
2016 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 12, article id 122Article in journal (Refereed) Published
Abstract [en]

We construct a closed system of equations describing the quark-anti-quark potential at any coupling in planar = 4 supersymmetric Yang-Mills theory. It is based on the Quantum Spectral Curve method supplemented with a novel type of asymptotics. We present a high precision numerical solution reproducing the classical and one-loop string predictions very accurately. We also analytically compute the first 7 nontrivial orders of the weak coupling expansion. Moreover, we study analytically the generalized quark-anti-quark potential in the limit of large imaginary twist to all orders in perturbation theory. We demonstrate how the QSC reduces in this case to a one-dimensional Schrodinger equation. In the process we establish a link between the Q-functions and the solution of the Bethe-Salpeter equation.

Place, publisher, year, edition, pages
Springer, 2016. no 12, article id 122
Keywords [en]
AdS-CFT Correspondence, Integrable Field Theories
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-201251DOI: 10.1007/JHEP12(2016)122ISI: 000391825000001Scopus ID: 2-s2.0-85007001845OAI: oai:DiVA.org:kth-201251DiVA, id: diva2:1074341
Note

QC 20170215

Available from: 2017-02-15 Created: 2017-02-15 Last updated: 2017-11-29Bibliographically approved

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