{
  "id": "2110.04014",
  "version": "v1",
  "published": "2021-10-08T10:19:29.000Z",
  "updated": "2021-10-08T10:19:29.000Z",
  "title": "Critical points in the $CP^{N-1}$ model",
  "authors": [
    "Youness Diouane",
    "Noel Lamsen",
    "Gesualdo Delfino"
  ],
  "comment": "21 pages, 10 figures, 5 tables",
  "journal": "J. Stat. Mech. (2022) 023201",
  "doi": "10.1088/1742-5468/ac4983",
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "We use scale invariant scattering theory to obtain the exact equations determining the renormalization group fixed points of the two-dimensional $CP^{N-1}$ model, for $N$ real. Also due to special degeneracies at $N=2$ and 3, the space of solutions for $N\\geq 2$ reduces to that of the $O(N^2-1)$ model, and accounts for a zero temperature critical point. For $N<2$ the space of solutions becomes larger than that of the $O(N^2-1)$ model, with the appearance of new branches of fixed points relevant for criticality in gases of intersecting loops.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-10-08T10:19:29.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "scale invariant scattering theory",
      "zero temperature critical point",
      "renormalization group fixed points",
      "fixed points relevant",
      "exact equations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "IOP"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 21,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}