The scaling limit of the (∇+∆)-model

Cipriani, Alessandra ; Dan, Biltu ; Hazra, Rajat Subhra The scaling limit of the (∇+∆)-model arXiv preprint arXiv:1808.02676 . pp. 1-23.

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In this article we study the scaling limit of the interface model on Z d where the Hamiltonian is given by a mixed gradient and Laplacian interaction. We show that in any dimension the scaling limit is given by the Gaussian free field. We discuss the appropriate spaces in which the convergence takes place. While in infinite volume the proof is based on Fourier analytic methods, in finite volume we rely on some discrete PDE techniques involving finite-difference approximation of elliptic boundary value problems.

Item Type:Article
Source:Copyright of this article belongs to author(s).
Keywords:Mixed Model; Gaussian Free Field; Membrane Model; Random Interface; Scaling Limit.
ID Code:121109
Deposited On:09 Jul 2021 09:08
Last Modified:09 Jul 2021 09:08

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