{
  "id": "cond-mat/0402120",
  "version": "v1",
  "published": "2004-02-04T10:01:36.000Z",
  "updated": "2004-02-04T10:01:36.000Z",
  "title": "Screening of charged singularities of random fields",
  "authors": [
    "Michael Wilkinson"
  ],
  "comment": "12 pages, no figures. Minor revision of manuscript submitted to J. Phys. A, August 2003",
  "doi": "10.1088/0305-4470/37/26/012",
  "categories": [
    "cond-mat.dis-nn"
  ],
  "abstract": "Many types of point singularity have a topological index, or 'charge', associated with them. For example the phase of a complex field depending on two variables can either increase or decrease on making a clockwise circuit around a simple zero, enabling the zeros to be assigned charges of plus or minus one. In random fields we can define a correlation function for the charge-weighted density of singularities. In many types of random fields, this correlation function satisfies an identity which shows that the singularities 'screen' each other perfectly: a positive singularity is surrounded by an excess of concentration of negatives which exactly cancel its charge, and vice-versa. This paper gives a simple and widely applicable derivation of this result. A counterexample where screening is incomplete is also exhibited.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-02-04T10:01:36.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random fields",
      "charged singularities",
      "correlation function satisfies",
      "singularities creen",
      "simple zero"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}