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arXiv · 2107.04535

Bifurcating Branches of Multiple Charged One-Plus-Half Monopole In SU(2) Yang-Mills-Higgs Theory

Dan Zhu·Khai-Ming Wong·Timothy Tie·Guo-Quan Wong
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Abstract

In this paper, we study on the one-plus-half monopole configuration in SU(2) Yang-Mills-Higgs theory when the $ϕ$-winding number, $n$, runs from 2 to 4 and for a range of Higgs coupling constant, $λ_b \leq λ\leq 40$, where $λ_b$ is the lower bound, below which no solution can be found. Bifurcation and transition are observed for $n > 2$ when the Higgs coupling constant is larger than some critical value $λ_c$ and transitional value $λ_t$, respectively. Two different branches with energy higher than the fundamental solution are observed for both $n = 3$ and $4$. We also observed a new branch with even higher energy for $n = 4$. Unlike other branches which display transition behavior, the new branch corresponds to a full vortex-ring configuration. All the solutions possess finite energy. Plots of magnetic charge density, Higgs modulus and energy density are presented and analyzed.

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Dan Zhu, Khai-Ming Wong, Timothy Tie, Guo-Quan Wong. 2021-07-09. Bifurcating Branches of Multiple Charged One-Plus-Half Monopole In SU(2) Yang-Mills-Higgs Theory. https://arxiv.org/abs/2107.04535

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