### Abstract

In the massive SO(3) gauge field theory, a critical choice of the configuration ansatz leads to a system of the Bogomol'nyi type equations governing the unstable modes of the model. A 't Hooft periodic condition implies the quantization of the flux lines confined in a cell domain if a certain class of solutions exist. The present paper establishes an existence theorem for such solutions via a constrained variational principle. These solutions exhibit the analogous properties of the vortex-like solutions predicted in the theory of type II superconductivity by Abrikosov.

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

Pages (from-to) | 1395-1399 |

Number of pages | 5 |

Journal | Journal of Mathematical Physics |

Volume | 32 |

Issue number | 5 |

State | Published - 1991 |

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### ASJC Scopus subject areas

- Organic Chemistry

### Cite this

*Journal of Mathematical Physics*,

*32*(5), 1395-1399.

**Existence of the massive SO(3) vortices.** / Yang, Yisong.

Research output: Contribution to journal › Article

*Journal of Mathematical Physics*, vol. 32, no. 5, pp. 1395-1399.

}

TY - JOUR

T1 - Existence of the massive SO(3) vortices

AU - Yang, Yisong

PY - 1991

Y1 - 1991

N2 - In the massive SO(3) gauge field theory, a critical choice of the configuration ansatz leads to a system of the Bogomol'nyi type equations governing the unstable modes of the model. A 't Hooft periodic condition implies the quantization of the flux lines confined in a cell domain if a certain class of solutions exist. The present paper establishes an existence theorem for such solutions via a constrained variational principle. These solutions exhibit the analogous properties of the vortex-like solutions predicted in the theory of type II superconductivity by Abrikosov.

AB - In the massive SO(3) gauge field theory, a critical choice of the configuration ansatz leads to a system of the Bogomol'nyi type equations governing the unstable modes of the model. A 't Hooft periodic condition implies the quantization of the flux lines confined in a cell domain if a certain class of solutions exist. The present paper establishes an existence theorem for such solutions via a constrained variational principle. These solutions exhibit the analogous properties of the vortex-like solutions predicted in the theory of type II superconductivity by Abrikosov.

UR - http://www.scopus.com/inward/record.url?scp=36449001084&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=36449001084&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:36449001084

VL - 32

SP - 1395

EP - 1399

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

SN - 0022-2488

IS - 5

ER -