A Convergence Proof for Linked Cluster Expansions
Abstract
Description
We 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, latex
11 pages, latex