### 摘要

We calculate the one loop corrections to the Chern-Simons coefficient (Formula presented) in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is (Formula presented), we show, by taking into account the effect of the would-be Chern-Simons term, that the corrections are always integer multiples of (Formula presented), as they should be for the theories to be quantum-mechanically consistent. In particular, the correction is vanishing for SU(2). The same method can also be applied to the case where the gauge group is (Formula presented). The result for SO(2) agrees with that found in the Abelian Chern-Simons theories. Therefore, the calculation provides us with a unified understanding of the quantum correction to the Chern-Simons coefficient.

原文 | 英語 |
---|---|

頁（從 - 到） | 7416-7421 |

頁數 | 6 |

期刊 | Physical Review D - Particles, Fields, Gravitation and Cosmology |

卷 | 57 |

發行號 | 12 |

DOIs | |

出版狀態 | 已發佈 - 1998 一月 1 |

### 指紋

### ASJC Scopus subject areas

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)

### 引用此文

**Non-Abelian Chern-Simons coefficient in the Higgs phase.** / Kao, Hsien-Chung.

研究成果: 雜誌貢獻 › 文章

}

TY - JOUR

T1 - Non-Abelian Chern-Simons coefficient in the Higgs phase

AU - Kao, Hsien-Chung

PY - 1998/1/1

Y1 - 1998/1/1

N2 - We calculate the one loop corrections to the Chern-Simons coefficient (Formula presented) in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is (Formula presented), we show, by taking into account the effect of the would-be Chern-Simons term, that the corrections are always integer multiples of (Formula presented), as they should be for the theories to be quantum-mechanically consistent. In particular, the correction is vanishing for SU(2). The same method can also be applied to the case where the gauge group is (Formula presented). The result for SO(2) agrees with that found in the Abelian Chern-Simons theories. Therefore, the calculation provides us with a unified understanding of the quantum correction to the Chern-Simons coefficient.

AB - We calculate the one loop corrections to the Chern-Simons coefficient (Formula presented) in the Higgs phase of Yang-Mills Chern-Simons Higgs theories. When the gauge group is (Formula presented), we show, by taking into account the effect of the would-be Chern-Simons term, that the corrections are always integer multiples of (Formula presented), as they should be for the theories to be quantum-mechanically consistent. In particular, the correction is vanishing for SU(2). The same method can also be applied to the case where the gauge group is (Formula presented). The result for SO(2) agrees with that found in the Abelian Chern-Simons theories. Therefore, the calculation provides us with a unified understanding of the quantum correction to the Chern-Simons coefficient.

UR - http://www.scopus.com/inward/record.url?scp=0000691317&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0000691317&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.57.7416

DO - 10.1103/PhysRevD.57.7416

M3 - Article

AN - SCOPUS:0000691317

VL - 57

SP - 7416

EP - 7421

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 0556-2821

IS - 12

ER -