Universal scaling limits for spin networks via martingale methods
arXiv:2410.08150 · doi:10.1098/rspa.2024.0774
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.
Respect to the published version: a star is added in eq.(19) and after eq.(27) to distinguish the standard Gibbs measure from the locally normalized version. Other minor typos fixed. 25 pages, 1 figure