TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.17.1.017
TI  - Loop equations for generalised eigenvalue models
PY  - 2024/07/18
UR  - https://www.scipost.org/SciPostPhys.17.1.017
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 17
IS  - 1
SP  - 017
A1  - Vescovi, Edoardo
AU  - Zarembo, Konstantin
AB  - 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 $\mathcal{N}=2^*$ super-Yang-Mills theory and the Hoppe model are used to illustrate our methods.
ER  -

@Article{10.21468/SciPostPhys.17.1.017,
	title={{Loop equations for generalised eigenvalue models}},
	author={Edoardo Vescovi and Konstantin Zarembo},
	journal={SciPost Phys.},
	volume={17},
	pages={017},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.17.1.017},
	url={https://scipost.org/10.21468/SciPostPhys.17.1.017},
}