The one and a half monopoles solution of the SU(2) Yang-Mills-Higgs field theory

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• 作者：Rosy Teh ; ^{rosyteh@usm.my" class="auth_mail} ; Ban-Loong Ng ; Khai-Ming Wong
• 关键词：Soliton ; Monopole ; Yang&ndash ; Mills&ndash ; Higgs theory
• 刊名：Annals of Physics
• 出版年：April, 2014
• 年：2014
• 卷：343
• 期：Complete
• 页码：1-15
• 全文大小：1504 K

文摘

Recently we have reported on the existence of finite energy SU(2) Yang-Mills-Higgs particle of one-half topological charge. In this paper, we show that this one-half monopole can co-exist with a 鈥檛 Hooft-Polyakov monopole. The magnetic charge of the one-half monopole is of opposite sign to the magnetic charge of the 鈥檛 Hooft-Polyakov monopole. However the net magnetic charge of the configuration is zero due to the presence of a semi-infinite Dirac string along the positive -axis that carries the other half of the magnetic monopole charge. The solution possesses gauge potentials that are singular along the -axis, elsewhere they are regular. The total energy is found to increase with the strength of the Higgs field self-coupling constant . However the dipole separation and the magnetic dipole moment decrease with . This solution is non-BPS even in the BPS limit when the Higgs self-coupling constant vanishes.