{
  "id": "2407.09856",
  "version": "v1",
  "published": "2024-07-13T11:32:20.000Z",
  "updated": "2024-07-13T11:32:20.000Z",
  "title": "Corrections to scaling in the 2D phi^4 model: Monte Carlo results and some related problems",
  "authors": [
    "Jevgenijs Kaupuzs",
    "Roderick Melnik"
  ],
  "comment": "17 pages, 8 tables",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Monte Carlo (MC) simulations have been performed for a refined estimation of the correction-to-scaling exponent omega in the 2D phi^4 model. The best estimate omega=1.546(30) has been obtained from the finite-size scaling of the susceptibility data in the range of linear lattice sizes L from 128 to 2048 at the critical value of the Binder cumulant, this result is confirmed also by several other MC estimations. It served as a basis for a critical reconsideration of some earlier theoretical conjectures and scaling assumptions. In particular, we have corrected and refined our previous analysis by grouping Feynman diagrams. The renewed analysis gives omega = 4-d-2 eta as some approximation for spatial dimensions d<4, or omega approximately 1.5 in two dimensions. Our MC value is comparable with the known results of the epsilon-expansion.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2024-07-13T11:32:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "monte carlo results",
      "related problems",
      "corrections",
      "linear lattice sizes",
      "spatial dimensions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}