Asymptotics of even-even correlations in the Ising model

preprint2020arXivOpen access

Abstract

We consider finite-range ferromagnetic Ising models on Zd\mathbb{Z}^d in the regime β<βcβ<β_c. We analyze the behavior of the prefactor to the exponential decay of Cov(σA,σB)\mathrm{Cov}(σ_A,σ_B), for arbitrary finite sets AA and BB of even cardinality, as the distance between AA and BB diverges.

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