{
  "id": "1207.4014",
  "version": "v2",
  "published": "2012-07-17T14:38:44.000Z",
  "updated": "2012-08-22T13:51:00.000Z",
  "title": "Critical line of the $Φ^4$ theory on a simple cubic lattice in the local potential approximation",
  "authors": [
    "Jean-Michel Caillol"
  ],
  "comment": "Minor revisions: 15 pages, 4 figures, 3 tables",
  "journal": "Nuclear Physics B 865, 291 (2012)",
  "categories": [
    "cond-mat.stat-mech",
    "hep-lat"
  ],
  "abstract": "We establish the critical line of the one-component $\\Phi^4$ (or Landau-Ginzburg) model on the simple cubic lattice in three dimensions. Our study is performed in the framework of the non-perturbative renormalization group in the local potential approximation. Soft as well as ultra-sharp infra-red regulators are both considered. While the latter gives poor results, the critical line given by the soft cut-off compares well with the Monte Carlo simulations data of Hasenbusch (J. Phys. A : Math. Gen. 32 (1999) 4851) with a relative error of, at worst, $\\sim 3. 10^{-3}$ on published points (critical parameters) of this line.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-22T13:51:00.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05.50.+q",
      "64.60.De",
      "02.30.Jr",
      "05.10.Cc",
      "02.60.Lj"
    ],
    "keywords": [
      "local potential approximation",
      "simple cubic lattice",
      "critical line",
      "monte carlo simulations data",
      "soft cut-off compares"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Elsevier",
      "journal": "Nuclear Physics B",
      "doi": "10.1016/j.nuclphysb.2012.07.032",
      "year": 2012,
      "month": "Dec",
      "volume": 865,
      "number": 2,
      "pages": 291
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 1122855,
      "adsabs": "2012NuPhB.865..291C"
    }
  }
}