Dyson equations for correlators of Wilson loops

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...

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Autores principales: Correa, Diego Hernán, González Pisani, Pablo Andrés, Rios Fukelman, Alan, Zarembo, Konstantin
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/97451
https://ri.conicet.gov.ar/11336/83103
https://link.springer.com/article/10.1007%2FJHEP12%282018%29100
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Sumario: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 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.