| Título: | Spontaneous breaking of continuous rotational symmetry in two dimensions |
| Autores: |
Merkl, Franz; Mathematical Institute, University of Munich, Germany Rolles, Silke W.W.; Technical University of Munich, Germany |
| Fecha: | 2009-01-01 |
| Publicador: | Electronic journal of probability |
| Fuente: |
 |
| Tipo: |
Peer-reviewed Article |
| Tema: |
Gibbs measure, rotation, spontaneous symmetry breaking, continuous symmetry Primary 60K35; secondary 82B20, 82B21 |
| Descripción: | 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. |
| Idioma: | No aplica |
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