{
  "id": "cond-mat/0506713",
  "version": "v1",
  "published": "2005-06-28T16:40:20.000Z",
  "updated": "2005-06-28T16:40:20.000Z",
  "title": "Corrections to Universal Fluctuations in Correlated Systems: the 2D XY-model",
  "authors": [
    "G. Mack",
    "G. Palma",
    "L. Vergara"
  ],
  "comment": "To be published in Phys. Rev. E",
  "doi": "10.1103/PhysRevE.72.026119",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "Generalized universality, as recently proposed, postulates a universal non-Gaussian form of the probability density function (PDF) of certain global observables for a wide class of highly correlated systems of finite volume N. Studying the 2D XY -model, we link its validity to renormalization group properties. It would be valid if there were a single dimension 0 operator, but the actual existence of several such operators leads to T-dependent corrections. The PDF is the Fourier transform of the partition function Z(q) of an auxiliary theory which differs by a dimension 0 perturbation with a very small imaginary coefficient iq/N from a theory which is asymptotically free in the infrared. We compute the PDF from a systematic loop expansion of ln Z(q).",
  "revisions": [
    {
      "version": "v1",
      "updated": "2005-06-28T16:40:20.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "correlated systems",
      "universal fluctuations",
      "2d xy-model",
      "corrections",
      "small imaginary coefficient iq/n"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "APS",
      "journal": "Phys. Rev. E"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}