Dyson equations for correlators of Wilson loops
Abstract By considering a Gaussian truncation of N $$ \mathcal{N} $$ = 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 orientatio...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-12-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP12(2018)100 |
| _version_ | 1819125755065401344 |
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| author | Diego Correa Pablo Pisani Alan Rios Fukelman Konstantin Zarembo |
| author_facet | Diego Correa Pablo Pisani Alan Rios Fukelman Konstantin Zarembo |
| author_sort | Diego Correa |
| collection | DOAJ |
| description | Abstract By considering a Gaussian truncation of N $$ \mathcal{N} $$ = 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 Schrödinger 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. |
| first_indexed | 2024-12-22T07:45:10Z |
| format | Article |
| id | doaj.art-730b9607cc9249f9b96e735e07e9f30d |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T07:45:10Z |
| publishDate | 2018-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-730b9607cc9249f9b96e735e07e9f30d2022-12-21T18:33:39ZengSpringerOpenJournal of High Energy Physics1029-84792018-12-0120181212810.1007/JHEP12(2018)100Dyson equations for correlators of Wilson loopsDiego Correa0Pablo Pisani1Alan Rios Fukelman2Konstantin Zarembo3Instituto de Física La Plata, CONICET, Universidad Nacional de La PlataInstituto de Física La Plata, CONICET, Universidad Nacional de La PlataInstitut de Ciències del Cosmos, Universitat de BarcelonaNordita, Stockholm University and KTH Royal Institute of TechnologyAbstract By considering a Gaussian truncation of N $$ \mathcal{N} $$ = 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 Schrödinger 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.http://link.springer.com/article/10.1007/JHEP12(2018)100AdS-CFT CorrespondenceSupersymmetric Gauge TheoryWilson, ’t Hooft and Polyakov loopsMatrix Models |
| spellingShingle | Diego Correa Pablo Pisani Alan Rios Fukelman Konstantin Zarembo Dyson equations for correlators of Wilson loops Journal of High Energy Physics AdS-CFT Correspondence Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops Matrix Models |
| title | Dyson equations for correlators of Wilson loops |
| title_full | Dyson equations for correlators of Wilson loops |
| title_fullStr | Dyson equations for correlators of Wilson loops |
| title_full_unstemmed | Dyson equations for correlators of Wilson loops |
| title_short | Dyson equations for correlators of Wilson loops |
| title_sort | dyson equations for correlators of wilson loops |
| topic | AdS-CFT Correspondence Supersymmetric Gauge Theory Wilson, ’t Hooft and Polyakov loops Matrix Models |
| url | http://link.springer.com/article/10.1007/JHEP12(2018)100 |
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