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arXiv · 2107.04738

Bounded System of Monopole and Half-monopole in the Weinberg-Salam Model

Dan Zhu·Khai-Ming Wong·Timothy Tie
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Abstract

In this work, we study the one plus half-monopole configuration in Weinberg-Salam model, covering $\phi$-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.

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Dan Zhu, Khai-Ming Wong, Timothy Tie. 2021-07-10. Bounded System of Monopole and Half-monopole in the Weinberg-Salam Model. https://doi.org/10.1063/5.0037076

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