2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148230I show that the strong coupling solution of the Kazakov--Migdal model with a general interaction potential $V(Φ)$ in $D$ dimensions coincides at large $N$ with that of the hermitean one-matrix model with the potential $\tilde{V}(Φ)$: $$ (2D-1)\tilde{V}'= (D-1)V'+ D\sqrt{(V')^2+4(1-2D)Φ^2}, $$ whose solution is known. The proof is given for an even potential $V(Φ)=V(-Φ)$ by solving loop equations.Latex (3 Latex figures), 13pp, ITEP-YM-2-93 [minor revising]High Energy Physics - TheoryHigh Energy Physics - Latticetext