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The scaling limit of the continuous solid-on-solid model

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arxiv 2310.13630 v2 pith:GAFPISPL submitted 2023-10-20 math-ph math.MPmath.PR

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keywords continuouslimitmodelscalingsolid-on-solidfieldfreegaussian
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abstract

We prove that the scaling limit of the continuous solid-on-solid model in $\mathbb{Z}^d$ is a multiple of the Gaussian free field.

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Cited by 1 Pith paper

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  1. Parallel spin wave for the Villain model

    math.PR 2025-07 conditional novelty 7.0 of 10

    In three dimensions, the low-temperature Villain model's cosine-cosine correlation lies between c/|x|^2 and C(ln|x|)^{22}/|x|^2, matching the spin-wave prediction up to a logarithm; in all d at least 3 the upper bound...

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