{
  "id": "2408.04548",
  "version": "v1",
  "published": "2024-08-08T15:56:25.000Z",
  "updated": "2024-08-08T15:56:25.000Z",
  "title": "Nonuniversality in random criticality",
  "authors": [
    "Gesualdo Delfino"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn",
    "hep-th"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-08-08T15:56:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random criticality",
      "nonuniversality",
      "renormalization group fixed points",
      "scale invariant scattering theory",
      "result relates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}