{
  "id": "2101.03075",
  "version": "v1",
  "published": "2021-01-08T16:09:00.000Z",
  "updated": "2021-01-08T16:09:00.000Z",
  "title": "Critical points in the $RP^{N-1}$ model",
  "authors": [
    "Youness Diouane",
    "Noel Lamsen",
    "Gesualdo Delfino"
  ],
  "categories": [
    "cond-mat.stat-mech",
    "hep-th"
  ],
  "abstract": "The space of solutions of the exact renormalization group fixed point equations of the two-dimensional $RP^{N-1}$ model, which we recently obtained within the scale invariant scattering framework, is explored for continuous values of $N\\geq 0$. Quasi-long-range order occurs only for $N=2$, and allows for several lines of fixed points meeting at the BKT transition point. A rich pattern of fixed points is present below $N^*=2.24421..$, while only zero temperature criticality in the $O(N(N+1)/2-1)$ universality class can occur above this value. The interpretation of an extra solution at $N=3$ requires the identitication of a path to criticality specific to this value of $N$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-01-08T16:09:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical points",
      "exact renormalization group fixed point",
      "renormalization group fixed point equations",
      "scale invariant scattering framework",
      "quasi-long-range order occurs"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}