Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field
Mathematical Physics
2020-01-08 v2 math.MP
Probability
Abstract
We prove that the correction to exponential decay of the truncated two points function in the homogeneous positive field Ising model is . The proof is based on the development in the random current representation of a "modern" Ornstein-Zernike theory, as developed by Campanino, Ioffe and Velenik.
Keywords
Cite
@article{arxiv.1810.06869,
title = {Sharp Asymptotics for the Truncated Two-Point Function of the Ising Model with a Positive Field},
author = {Sébastien Ott},
journal= {arXiv preprint arXiv:1810.06869},
year = {2020}
}
Comments
26 pages, 7 figures, details added