{
  "id": "math/0010291",
  "version": "v1",
  "published": "2000-10-30T12:30:17.000Z",
  "updated": "2000-10-30T12:30:17.000Z",
  "title": "Critical behavior of the massless free field at the depinning transition",
  "authors": [
    "Erwin Bolthausen",
    "Yvan Velenik"
  ],
  "journal": "Commun.Math.Phys. 223 (2001) 161-203",
  "doi": "10.1007/s002200100542",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider the d-dimensional massless free field localized by a delta-pinning of strength e. We study the asymptotics of the variance of the field, and of the decay-rate of its 2-point function, as e goes to zero, for general Gaussian interactions. Physically speaking, we thus rigorously obtain the critical behavior of the transverse and longitudinal correlation lengths of the corresponding d+1-dimensional effective interface model in a non-mean-field regime. We also describe the set of pinned sites at small e, for a broad class of d-dimensional massless models.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2000-10-30T12:30:17.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K35",
      "82B41",
      "82B24",
      "82B27"
    ],
    "keywords": [
      "critical behavior",
      "depinning transition",
      "longitudinal correlation lengths",
      "general gaussian interactions",
      "d-dimensional massless free field"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "Springer",
      "journal": "Commun. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 551717
    }
  }
}