A Convergence Proof for Linked Cluster Expansions
classification
✦ hep-lat
keywords
clusterconvergencegenerallinkedproofboundcomponentconnected
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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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