JMP Nameplate
  • Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

Flickr Twitter UniPHY Group iResearch App Facebook

Journal of Mathematical Physics / Volume 24 / Issue 1

J. Math. Phys. 24, 148 (1983); http://dx.doi.org/10.1063/1.525586 (6 pages)

Existence and uniqueness of generalized vortices

M. A. Lohe1 and John van der Hoek2

1Department of Mathematical Physics, The University of Adelaide, Adelaide, 5000 South Australia
2Department of Pure Mathematics, The University of Adelaide, Adelaide, 5000 South Australia

(Received 12 May 1981; accepted 6 October 1981)

We investigate properties of the static noninteracting vortices determined by equations which generalize the first order Ginzburg–Landau equations. We prove that for each set of n points in the plane a unique solution exists to the first‐order equations, with vortex number n. These n points mark the positions of the n vortices and are the only points at which the Higgs field ‖ϕ‖ vanishes. Regularity properties of the solution are related to those of an arbitrary non‐negative function in the theory.

KEYWORDS and PACS

Keywords

higgs model, vortices, analytical solution, ginzburg−landau theory, hamiltonians, gauge invariance

PACS

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.525586

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
    E. B. Bogomol'nyi, Sov. J. Nucl. Phys. 24, 449 (1976).

    E. Weinberg, Phys. Rev. D 19, 3008 (1979).

    M. A. Lohe, Phys. Rev. D 23, 2335 (1981).


For access to citing articles, you need to log in.



Close

Google Calendar

ADVERTISEMENT

Your Recent History Recent History Help

Recently Viewed

  1. Existence and uniqueness of generalized vortices
  2. Erratum: Linearization stability of Einstein equations coupled with self‐gravitating scalar fields [J. Math. Phys. 22, 343 (1981)]
  3. New Stokes’ line in WKB theory
  4. Erratum: Adjoints of nondensely defined Hilbert space operators [J. Math. Phys. 22, 1619 (1981)]
  5. Erratum: Nonuniqueness in the inverse source problem in acoustics and electromagnetics [J. Math. Phys. 18, 194 (1977)]
Go to AIP Home
Copyright © American Institute of Physics
close