Discrete approximations to vector spin models
Mathematical Physics
2015-05-27 v1 math.MP
Abstract
We strengthen a result of two of us on the existence of effective interactions for discretised continuous-spin models. We also point out that such an interaction cannot exist at very low temperatures. Moreover, we compare two ways of discretising continuous-spin models, and show that, except for very low temperatures, they behave similarly in two dimensions. We also discuss some possibilities in higher dimensions.
Cite
@article{arxiv.1104.4241,
title = {Discrete approximations to vector spin models},
author = {A. C. D. van Enter and C. Kuelske and A. A. Opoku},
journal= {arXiv preprint arXiv:1104.4241},
year = {2015}
}
Comments
12 pages