Wilkinson, Michael
(2004).
*Journal of Physics A: Mathematical and General*, 37 pp. 6763–6771.

DOI (Digital Object Identifier) Link: | http://dx.doi.org/10.1088/0305-4470/37/26/012 |
---|---|

Google Scholar: | Look up in Google Scholar |

## 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.

Item Type: | Journal Article |
---|---|

ISSN: | 0305-4470 |

Academic Unit/Department: | Mathematics, Computing and Technology > Mathematics and Statistics Mathematics, Computing and Technology |

Item ID: | 3494 |

Depositing User: | Michael Wilkinson |

Date Deposited: | 27 Jun 2006 |

Last Modified: | 14 Jan 2016 15:56 |

URI: | http://oro.open.ac.uk/id/eprint/3494 |

Share this page: |

## Altmetrics | ## Scopus Citations |