| 陈守信,严正香,王照亮.复合系统双荷子解的存在性[J].数学年刊A辑,2013,34(1):47~62 |
| 复合系统双荷子解的存在性 |
| Existence of Dyons in the Combined System |
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| DOI： |
| 中文关键词: Georgi-Glashow模型,Skyrme模型,规范场,磁单极子,双荷子,变分法,强(弱)收敛,渐近估计 |
| 英文关键词:Georgi-Glashow model,Skyrme model,Gauge fields,Monopoles,Dyons,Calculus of variations,Strong (weak) convergence,Asymptotic estimate |
| 基金项目:河南省科技厅基础与前沿研究项目(No.112300410054),河南省科技攻关项目(No.112102210233) |
| Author Name | Affiliation | E-mail | | CHEN Shouxin | School of Mathematics and Information Science, Institute of Contemporary
Mathematics, Henan University, Kaifeng 475004, Henan, China. | chensx@henu.edu.cn | | YAN Zhengxiang | School of Mathematics and Computer Science, Xinyang Vocational and Technical
College, Xinyang 464000, Henan, China. | zhxyan10@gmail.com | | WANG Zhaoliang | The First Middle School of Puyang, Puyang 457000, Henan, China. | tqxwzl@sina.com |
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| 中文摘要: |
| 用不定变分法研究了由Georgi-Glashow(GG)模型和SO(3)规范Skyrme模型所构成的复合(简记为GGS)模型,证明了其既带电荷又带磁荷的类粒子稳态解------双荷子解的存在性.该解是依赖于两个物理参数的径向对称解.最后,给出了解在无穷远处的渐近估计. |
| 英文摘要: |
| By indefinite variational method, the authors prove the existence of electrically and magnetically charged particle-like static solutions, known as dyons of the combined model consisting of the Georgi-Glashow model and the SO(3) gauged Skyrme model. The solutions are spherically symmetric, and depend on two continuous parameters. Finally, the asymptotic estimates of the solutions at infinity are established. |
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