A Convergence Proof for Linked Cluster Expansions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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11 pages, latex

Scientific paper

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.

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