Loop equations for generalised eigenvalue models
High Energy Physics - Theory
2024-07-24 v3
Abstract
We derive the loop equation for the 1-matrix model with generic difference-type measure for eigenvalues and develop a recursive algebraic framework for solving it to an arbitrary order in the coupling constant in and beyond the planar approximation. The planar limit is solved exactly for a one-parametric family of models and in the general case at strong coupling. The Wilson loop in the N=2* super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.
Keywords
Cite
@article{arxiv.2402.13835,
title = {Loop equations for generalised eigenvalue models},
author = {Edoardo Vescovi and Konstantin Zarembo},
journal= {arXiv preprint arXiv:2402.13835},
year = {2024}
}
Comments
61 pages, 6 figures, Mathematica notebooks with perturbative solution of loop equations are included as ancillary files; v2: refs added; v3: more refs added