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Cluster expansions and correlation functions

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arxiv math-ph/0304003 v3 pith:FBUP7LJF submitted 2003-04-01 math-ph math.MP

Cluster expansions and correlation functions

Daniel Ueltschi This is my paper
classification math-ph math.MP
keywords clustercorrelationfunctionssystemsappliedappliesassumptionclassical
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A cluster expansion is proposed, that applies to both continuous and discrete systems. The assumption for its convergence involves an extension of the neat Kotecky-Preiss criterion. Expressions and estimates for correlation functions are also presented. The results are applied to systems of interacting classical and quantum particles, and to a lattice polymer model.

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  1. Gapped Parent Hamiltonians for the Strongly Deformed Toric Code

    cond-mat.str-el 2026-07 accept novelty 8.0

    Strongly deformed toric code states have local gapped parent Hamiltonians with exponentially decaying interactions, placing them in a trivial gapped phase despite perimeter-law Wilson loops.