Critical behavior of mean-field XY and related models
Mathematical Physics
2016-11-09 v1 Statistical Mechanics
math.MP
Abstract
We discuss spin models on complete graphs in the mean-field (infinite-vertex) limit, especially the classical XY model, the Toy model of the Higgs sector, and related generalizations. We present a number of results coming from the theory of large deviations and Stein's method, in particular, Cram\'er and Sanov-type results, limit theorems with rates of convergence, and phase transition behavior for these models.
Keywords
Cite
@article{arxiv.1611.02356,
title = {Critical behavior of mean-field XY and related models},
author = {Kay Kirkpatrick and Tayyab Nawaz},
journal= {arXiv preprint arXiv:1611.02356},
year = {2016}
}
Comments
To appear in Birkhauser Proceedings of the Conference in honor of Rodrigo Banuelos