### Abstract

Two distinct Skyrme terms for the CP^{1} model are defined, only one of which preserves the equivalence with the corresponding O(3) model. A gauging prescription in which the composite connection of the CP^{1} model is replaced by the U(1) gauge connection is defined. A U(1) gauged CP^{1} model and two distinct U(1) gauged CP^{1} models with Skyrme terms are defined. The existence of topologically stable vortices in each of the three U(1) gauged models is proved analytically.

Original language | English (US) |
---|---|

Pages (from-to) | 5824-5831 |

Number of pages | 8 |

Journal | Journal of Mathematical Physics |

Volume | 39 |

Issue number | 11 |

State | Published - Nov 1998 |

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### ASJC Scopus subject areas

- Mathematical Physics
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics

### Cite this

*Journal of Mathematical Physics*,

*39*(11), 5824-5831.

**Sigma models coupled with Abelian gauge fields.** / O'Keeffe, D.; Tchrakian, D. H.; Yang, Yisong.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 39, no. 11, pp. 5824-5831.

}

TY - JOUR

T1 - Sigma models coupled with Abelian gauge fields

AU - O'Keeffe, D.

AU - Tchrakian, D. H.

AU - Yang, Yisong

PY - 1998/11

Y1 - 1998/11

N2 - Two distinct Skyrme terms for the CP1 model are defined, only one of which preserves the equivalence with the corresponding O(3) model. A gauging prescription in which the composite connection of the CP1 model is replaced by the U(1) gauge connection is defined. A U(1) gauged CP1 model and two distinct U(1) gauged CP1 models with Skyrme terms are defined. The existence of topologically stable vortices in each of the three U(1) gauged models is proved analytically.

AB - Two distinct Skyrme terms for the CP1 model are defined, only one of which preserves the equivalence with the corresponding O(3) model. A gauging prescription in which the composite connection of the CP1 model is replaced by the U(1) gauge connection is defined. A U(1) gauged CP1 model and two distinct U(1) gauged CP1 models with Skyrme terms are defined. The existence of topologically stable vortices in each of the three U(1) gauged models is proved analytically.

UR - http://www.scopus.com/inward/record.url?scp=0032347348&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0032347348&partnerID=8YFLogxK

M3 - Article

VL - 39

SP - 5824

EP - 5831

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 11

ER -