| 规范场中Skyrme模型单位拓扑电荷的双荷子（英文） |
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| 引用本文： | 吴忠林,李东亚. 规范场中Skyrme模型单位拓扑电荷的双荷子（英文）[J]. 数学季刊, 2019, 0(2): 152-170 |
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| 作者姓名： | 吴忠林 李东亚 |
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| 作者单位： | School of Mathematics and Statistics |
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| 基金项目： | Supported by Natural Science fund of Henan Province(162300410084);the Key Research Fund under grant of Department Education of Henan Province(16A110019) |
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| 摘 要： | Dyons are an important family of topological solitons carrying both electric and magnetic charges and the presence of a nontrivial temporal component of the gauge field essential for the existence of electricity often makes the analysis of the underlying nonlinear equations rather challenging since the governing action functional assumes an indefinite form.In this work,developing a constrained variational technique,We establish an existence theorem for the dyon solitons in a Skyrme model coupled with SO(3)-gauge fields,formulated by Brihaye,Kleihaus,and Tchrakian.These solutions carry unit monopole and Skyrme charges.
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| 关 键 词： | SKYRME model gauge fields DYONS calculus of variations for INDEFINITE action FUNCTIONALS weak convergence |
Dyons of Unit Topological Charges in Gauged Skyrme Model |
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| WU Zhong-lin,LI Dong-ya. Dyons of Unit Topological Charges in Gauged Skyrme Model[J]. Chinese Quarterly Journal of Mathematics, 2019, 0(2): 152-170 |
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| Authors: | WU Zhong-lin LI Dong-ya |
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| Abstract: | Dyons are an important family of topological solitons carrying both electric and magnetic charges and the presence of a nontrivial temporal component of the gauge field essential for the existence of electricity often makes the analysis of the underlying nonlinear equations rather challenging since the governing action functional assumes an indefinite form. In this work, developing a constrained variational technique, We establish an existence theorem for the dyon solitons in a Skyrme model coupled with SO(3)-gauge fields, formulated by Brihaye, Kleihaus, and Tchrakian. These solutions carry unit monopole and Skyrme charges. |
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| Keywords: | Skyrme model gauge fields dyons calculus of variations for indefinite action functionals weak convergence |
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