2D models of statistical physics with continuous symmetry: the case of singular interactions
概率论
2011-08-25 v1 统计力学
数学物理
math.MP
摘要
We show the absence of continuous symmetry breaking in 2D lattice systems without any smoothness assumptions on the interaction. We treat certain cases of interactions with integrable singularities. We also present cases of singular interactions with continuous symmetry, when the symmetry is broken in the thermodynamic limit.
引用
@article{arxiv.math/0110127,
title = {2D models of statistical physics with continuous symmetry: the case of singular interactions},
author = {Dima Ioffe and Senya Shlosman and Yvan Velenik},
journal= {arXiv preprint arXiv:math/0110127},
year = {2011}
}
备注
29 pages