Color symmetry in the Potts spin glass at high temperature
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2026
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| _version_ | 1866910037653323776 |
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| author | Kim, Heejune |
| author_facet | Kim, Heejune |
| contents | We show that color symmetry is preserved at high temperatures in the Potts spin glass model with $κ\ge 3$ colors. Our proof employs the second moment method applied to the balanced model with a suitable centering of the Hamiltonian, while incorporating results from the non-disordered Potts model Ellis--Wang (1990), https://doi.org/10.1016/0304-4149(90)90122-9. For $κ= 2$, we exploit the model's gauge symmetry to show that unbalanced configurations occur with exponentially small probability at all temperatures $β\in [0, \infty]$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_01435 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Color symmetry in the Potts spin glass at high temperature Kim, Heejune Probability Mathematical Physics We show that color symmetry is preserved at high temperatures in the Potts spin glass model with $κ\ge 3$ colors. Our proof employs the second moment method applied to the balanced model with a suitable centering of the Hamiltonian, while incorporating results from the non-disordered Potts model Ellis--Wang (1990), https://doi.org/10.1016/0304-4149(90)90122-9. For $κ= 2$, we exploit the model's gauge symmetry to show that unbalanced configurations occur with exponentially small probability at all temperatures $β\in [0, \infty]$. |
| title | Color symmetry in the Potts spin glass at high temperature |
| topic | Probability Mathematical Physics |
| url | https://arxiv.org/abs/2603.01435 |