@article{EJP671,
author = {Franz Merkl and Silke Rolles},
title = {Spontaneous breaking of continuous rotational symmetry in two dimensions},
journal = {Electron. J. Probab.},
fjournal = {Electronic Journal of Probability},
volume = {14},
year = {2009},
keywords = {Gibbs measure, rotation, spontaneous symmetry breaking, continuous symmetry},
abstract = {In this article, we consider a simple model in equilibrium statistical mechanics for a two-dimensional crystal without defects. In this model, the local specifications for infinite-volume Gibbs measures are rotationally symmetric. We show that at sufficiently low, but positive temperature, rotational symmetry is spontaneously broken in some infinite-volume Gibbs measures.},
pages = {no. 57, 1705-1726},
issn = {1083-6489},
doi = {10.1214/EJP.v14-671},
url = {http://ejp.ejpecp.org/article/view/671}}