{
  "id": "2008.13650",
  "version": "v1",
  "published": "2020-08-31T14:38:52.000Z",
  "updated": "2020-08-31T14:38:52.000Z",
  "title": "Dimensional reduction breakdown and correction to scaling in the random-field Ising model",
  "authors": [
    "Ivan Balog",
    "Gilles Tarjus",
    "Matthieu Tissier"
  ],
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "We provide a theoretical analysis by means of the nonperturbative functional renormalization group (NP-FRG) of the corrections to scaling in the critical behavior of the random-field Ising model (RFIM) near the dimension $d_{DR}\\approx 5.1$ that separates a region where the renormalized theory at the fixed point is supersymmetric and critical scaling satisfies the $d\\to d-2$ dimensional reduction property ($d>d_{DR}$) from a region where both supersymmetry and dimensional reduction break down at criticality ($d<d_{DR}$). We show that the NP-FRG results are in very good agreement with recent large-scale lattice simulations of the RFIM in $d=5$ and we detail the consequences for the leading correction-to-scaling exponent of the peculiar boundary-layer mechanism by which the dimensional-reduction fixed point disappears and the dimensional-reduction-broken fixed point emerges in $d_{DR}$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-08-31T14:38:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random-field ising model",
      "dimensional reduction breakdown",
      "correction",
      "dimensional-reduction-broken fixed point emerges",
      "dimensional reduction property"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}