| 复合系统双荷子解的存在性 |
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| 引用本文： | 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(中文版),2013,34(1):47-62. |
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| 作者姓名： | 陈守信 严正香 王照亮 |
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| 作者单位： | 河南大学数学与信息科学学院,现代数学研究所;信阳职业技术学院数学与计算机科学学院;濮阳市第一中学 |
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| 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)的资助 |
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| 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.
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| 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 |
Existence of Dyons in the Combined System |
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| CHEN Shouxin,YAN Zhengxiang and WANG Zhaoliang.Existence of Dyons in the Combined System[J].Chinese Annals of Mathematics,2013,34(1):47-62. |
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| Authors: | CHEN Shouxin YAN Zhengxiang and WANG Zhaoliang |
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| Institution: | 1 School of Mathematics and Information Science,Institute of Contemporary Mathematics,Henan University,Kaifeng 475004,Henan,China. 2 School of Mathematics and Computer Science,Xinyang Vocational and Technical College,Xinyang 464000,Henan,China. 3 The First Middle School of Puyang,Puyang 457000,Henan,China. |
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| Abstract: | 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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| Keywords: | Georgi-Glashow model Skyrme model Gauge fields Monopoles Dyons Calculus of variations Strong (weak) convergence Asymptotic estimate |
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