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Dyson equations for correlators of Wilson loops
Univ Nacl La Plata, CONICET, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina..
Univ Nacl La Plata, CONICET, Inst Fis La Plata, CC 67, RA-1900 La Plata, Buenos Aires, Argentina..
Univ Barcelona, Inst Ciencies Cosmos, Marti i Franques 1, E-08028 Barcelona, Spain..
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.). KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Uppsala Univ, Dept Phys & Astron, SE-75108 Uppsala, Sweden.;Trinity Coll Dublin, Hamilton Math Inst, Dublin 2, Ireland.;ITEP, Moscow, Russia..
2018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 12, article id 100Article in journal (Refereed) Published
Abstract [en]

By considering a Gaussian truncation of N = 4 super Yang-Mills, we derive a set of Dyson equations that account for the ladder diagram contribution to connected correlators of circular Wilson loops. We consider different numbers of loops, with different relative orientations. We show that the Dyson equations admit a spectral representation in terms of eigenfunctions of a Schrodinger problem, whose classical limit describes the strong coupling limit of the ladder resummation. We also verify that in supersymmetric cases the exact solution to the Dyson equations reproduces known matrix model results.

Place, publisher, year, edition, pages
Springer, 2018. no 12, article id 100
Keywords [en]
AdS-CFT Correspondence, Supersymmetric Gauge Theory, Wilson, 't Hooft and Polyakov loops, Matrix Models
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-240710DOI: 10.1007/JHEP12(2018)100ISI: 000453780100001Scopus ID: 2-s2.0-85058815607OAI: oai:DiVA.org:kth-240710DiVA, id: diva2:1274913
Funder
Swedish Research Council, 2013-4329Knut and Alice Wallenberg Foundation
Note

QC 20190103

Available from: 2019-01-03 Created: 2019-01-03 Last updated: 2019-01-07Bibliographically approved

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Zarembo, Konstantin

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Mathematics (Dept.)Nordic Institute for Theoretical Physics NORDITA
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