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arXiv · 2107.03917

Monopole-Antimonopole Pair With Higher Energy Branch In SU(2) x U(1) Weinberg-Salam Theory

Timothy Tie·Khai-Ming Wong·Dan Zhu
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Abstract

We investigate the monopole-antimonopole pair solution in the SU(2) x U(1) Weinberg-Salam theory with $\phi$-winding number, $n=3$ for bifurcation phenomena. The magnetic monopole merges with antimonopole to form a vortex ring with finite diameter at $n=3$. Other than the fundamental solution, two new bifurcating solution branches were found when Higgs coupling constant $\lambda$, reaches a critical value $\lambda_c$. The two new branches possess higher energies than the fundamental solutions. These bifurcating solutions behave differently from the vortex ring configuration in SU(2) Yang-Mills-Higgs theory since thery are full vortex-ring. We investigate on the total energy $E$, vortex ring diameter $d_{\rho}$, and magnetic dipole moment $\mu_m$, for $0 \leq \lambda \leq 49$.

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Timothy Tie, Khai-Ming Wong, Dan Zhu. 2021-07-08. Monopole-Antimonopole Pair With Higher Energy Branch In SU(2) x U(1) Weinberg-Salam Theory. https://arxiv.org/abs/2107.03917

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