Color symmetry breaking in the Potts spin glass
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866915190352642048 |
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| author | Mourrat, Jean-Christophe |
| author_facet | Mourrat, Jean-Christophe |
| contents | The Potts spin glass is an analogue of the Sherrington-Kirkpatrick model in which each spin can take one of $κ$ possible values, which we interpret as colors. It was suggested in arXiv:2310.06745 that the order parameter for this model is always invariant with respect to permutations of the colors. We show here that this is false whenever $κ\ge 58$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_10437 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Color symmetry breaking in the Potts spin glass Mourrat, Jean-Christophe Probability Disordered Systems and Neural Networks The Potts spin glass is an analogue of the Sherrington-Kirkpatrick model in which each spin can take one of $κ$ possible values, which we interpret as colors. It was suggested in arXiv:2310.06745 that the order parameter for this model is always invariant with respect to permutations of the colors. We show here that this is false whenever $κ\ge 58$. |
| title | Color symmetry breaking in the Potts spin glass |
| topic | Probability Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2409.10437 |