Scaling limit of the energy variable for the two-dimensional Ising ferromagnet
type: Item
instance of: scholarly article
title: Scaling limit of the energy variable for the two-dimensional Ising ferromagnet
zbMATH Open document ID: 0572.60097
DOI: 10.1007/BF01215755
published in: Communications in Mathematical Physics
publication date: 1984-01-01T00:00:00Z
review text: The critical point limit law (scaling limit) of the suitably renormalized energy variable is explicitly calculated for the two-dimensional nearest- neighbour Ising cylinder with free edges. It is shown that the renormalization factor has to behave as (2M 2N ln N)\({}^{1/2}\), where 2M denotes the number of rows and 2N the number of columns. By first taking the limit \(M\to \infty\) and then \(N\to \infty\), the limit law is proved to be Gaussian.
Mathematics Subject Classification ID: 60K35
Mathematics Subject Classification ID: 81P20
Mathematics Subject Classification ID: 60F99
zbMATH DE Number: 3913421
zbMATH Keywords: critical point limit law
zbMATH Keywords: two-dimensional nearest-neighbour Ising cylinder
zbMATH Keywords: renormalization factor
author: Joël De Coninck
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01215755
OpenAlex ID: W2054481501
description: scientific article; zbMATH DE number 3913421