Nonuniversality in random criticality
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866909466144800768 |
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| author | Delfino, Gesualdo |
| author_facet | Delfino, Gesualdo |
| contents | We consider $N$ two-dimensional Ising models coupled in presence of quenched disorder and use scale invariant scattering theory to exactly show the presence of a line of renormalization group fixed points for any fixed value of $N$ other than 1. We show how this result relates to perturbative studies and sheds light on numerical simulations. We also observe that the limit $N\to 1$ may be of interest for the Ising spin glass, and point out potential relevance for nonuniversality in other contexts of random criticality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_04548 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonuniversality in random criticality Delfino, Gesualdo Statistical Mechanics Disordered Systems and Neural Networks High Energy Physics - Theory We consider $N$ two-dimensional Ising models coupled in presence of quenched disorder and use scale invariant scattering theory to exactly show the presence of a line of renormalization group fixed points for any fixed value of $N$ other than 1. We show how this result relates to perturbative studies and sheds light on numerical simulations. We also observe that the limit $N\to 1$ may be of interest for the Ising spin glass, and point out potential relevance for nonuniversality in other contexts of random criticality. |
| title | Nonuniversality in random criticality |
| topic | Statistical Mechanics Disordered Systems and Neural Networks High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.04548 |