Asymptotic freedom with discrete spin variables?
High Energy Physics - Lattice
2007-05-23 v1
Abstract
We study the critical behaviour of the 2d dodecahedron spin model and investigate the conjecture that the discrete model describes the same continuum theory as the O(3) non-linear sigma model. In particular, we found that the anisotropy of the magnetization A(z) measured in a fixed physical volume decreases with increasing correlation length, at least up to \xi \approx 1000.
Keywords
Cite
@article{arxiv.hep-lat/0112003,
title = {Asymptotic freedom with discrete spin variables?},
author = {Peter Hasenfratz and Ferenc Niedermayer},
journal= {arXiv preprint arXiv:hep-lat/0112003},
year = {2007}
}
Comments
5 pages, 4 figures