2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/39009We prove that for a general $N$-component model on a $d$-dimensional lattice $\bZ^d$ with pairwise nearest-neighbor coupling and general local interaction obeying a stability bound the linked cluster expansion has a finite radius of convergence. The proof uses Mayer Montroll equations for connected Green functions.11 pages, latexHigh Energy Physics - Latticetext