Universal scaling limits for spin networks via martingale methods
Statistical Mechanics
2025-04-29 v4 Probability
Abstract
We use simple martingale methods to construct a large deviation theory of spin systems with pairwise interactions. As an application, we show that the fully connected case obeys a universal scaling limit that is just a product of magnetisation eigenstates.
Keywords
Cite
@article{arxiv.2410.08150,
title = {Universal scaling limits for spin networks via martingale methods},
author = {Simone Franchini},
journal= {arXiv preprint arXiv:2410.08150},
year = {2025}
}
Comments
A critical lapsus in Eq. 61 (Eq. 3.24 in the published version) has been corrected. 25 pages, 1 figure