Bifurcation and Transition of Multiple Charged One-Plus-Half Monopole Solutions of the SU(2) Yang-Mills-Higgs Theory

Publication Issue: 
Volume 39, Issue 2, 2018
Page No: 
Date Received: 
Tuesday, January 30, 2018
Authors' Name: 
Dan Zhu
Khai-Ming Wong
Timothy Tie
Authors' Affiliation and Address: 
School of Physics, Universiti Sains Malaysia, 11800 USM Penang, Malaysia
In this paper, we report on the electrically neutral one-plus-half monopole configuration of the 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, λb ≤ λ ≤ 40, where λb is the lower bound, below which no solution can be found. Bifurcation and transition are observed when n > 2 and when the Higgs coupling constant is larger than some critical value, λc and λt, respectively. Two different branchings above the fundamental branch with higher energies for both n = 3 and 4 are observed. A new branch with even higher energies also emerged for n = 4. All solutions possess finite energy. Plots of magnetic charge density, Higgs modulus and energy density are presented and analyzed.
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