Absence of replica symmetry breaking in the random field Ising model
Mathematical Physics
2015-06-19 v2 math.MP
Probability
Abstract
It is shown that replica symmetry is not broken in the random field Ising model in any dimension, at any temperature and field strength, except possibly at a measure-zero set of exceptional temperatures and field strengths.
Keywords
Cite
@article{arxiv.1404.7178,
title = {Absence of replica symmetry breaking in the random field Ising model},
author = {Sourav Chatterjee},
journal= {arXiv preprint arXiv:1404.7178},
year = {2015}
}
Comments
11 pages. To appear in Commun. Math. Phys