Bounded System of Monopole and Half-monopole in the Weinberg-Salam Model
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2021
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| _version_ | 1866911922976194560 |
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| author | Zhu, Dan Wong, Khai-Ming Tie, Timothy |
| author_facet | Zhu, Dan Wong, Khai-Ming Tie, Timothy |
| contents | In this work, we study the one plus half-monopole configuration in Weinberg-Salam model, covering $ϕ$-winding number $n$ = 1. We observed that while the finite separation between the one-monopole and the half-monopole becomes larger as compared to the same configuration in SU(2) Yang-Mills-Higgs theory, a flux tube is established, creating a bound-state of one-monopole and half-monopole in Weinberg-Salam model. There is no electromagnetic current loop circulating the pair of one-monopole and half-monopole, but the system possesses non-vanishing magnetic dipole moment. The non-Abelian gauge potential and the electromagnetic gauge potential are singular along the negative $z$-axis, but the total energy is finite. The solutions are investigated by fixing the Weinberg angle while varying the Higgs self-coupling constant and vice versa. It is shown that this configuration in Weinberg-Salam model possesses different behaviours than its counterpart in SU(2) Yang-Mills-Higgs theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2107_04738 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Bounded System of Monopole and Half-monopole in the Weinberg-Salam Model Zhu, Dan Wong, Khai-Ming Tie, Timothy High Energy Physics - Theory In this work, we study the one plus half-monopole configuration in Weinberg-Salam model, covering $ϕ$-winding number $n$ = 1. We observed that while the finite separation between the one-monopole and the half-monopole becomes larger as compared to the same configuration in SU(2) Yang-Mills-Higgs theory, a flux tube is established, creating a bound-state of one-monopole and half-monopole in Weinberg-Salam model. There is no electromagnetic current loop circulating the pair of one-monopole and half-monopole, but the system possesses non-vanishing magnetic dipole moment. The non-Abelian gauge potential and the electromagnetic gauge potential are singular along the negative $z$-axis, but the total energy is finite. The solutions are investigated by fixing the Weinberg angle while varying the Higgs self-coupling constant and vice versa. It is shown that this configuration in Weinberg-Salam model possesses different behaviours than its counterpart in SU(2) Yang-Mills-Higgs theory. |
| title | Bounded System of Monopole and Half-monopole in the Weinberg-Salam Model |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2107.04738 |