The two-dimensional continuum random field Ising model
Probability
2021-05-18 v2 Mathematical Physics
math.MP
Abstract
In this paper we construct the two-dimensional continuum random field Ising model via scaling limits of a random field perturbation of the critical two-dimensional Ising model with diminishing disorder strength. Furthermore, we show that almost surely with respect to the continuum random field given by a white noise, the law of the magnetisation field is singular with respect to that of the two-dimensional continuum pure Ising model constructed by Camia, Garban and Newman.
Keywords
Cite
@article{arxiv.2008.12158,
title = {The two-dimensional continuum random field Ising model},
author = {Adam Bowditch and Rongfeng Sun},
journal= {arXiv preprint arXiv:2008.12158},
year = {2021}
}
Comments
36 pages. To appear in Annals of Probability