Dyson equations for correlators of Wilson loops

• Main Authors: Diego Correa, Pablo Pisani, Alan Rios Fukelman, Konstantin Zarembo
• Format: Article
• Language: English
• Published: SpringerOpen 2018-12-01
• Series: Journal of High Energy Physics
• Subjects: AdS-CFT Correspondence; Supersymmetric Gauge Theory; Wilson, ’t Hooft and Polyakov loops; Matrix Models
• Online Access: http://link.springer.com/article/10.1007/JHEP12(2018)100

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.