Topology, and (in)stability of non-Abelian monopoles
文献类型：期刊论文
| 作者 | Zhang, Peng-Ming1,2 ; Horvathy, Peter A.1,2; Rawnsley, John3
|
| 刊名 | ANNALS OF PHYSICS
 |
| 出版日期 | 2012 |
| 卷号 | 327页码:118-165 |
| 关键词 | Non-abelian Monopole Brand-neri-coleman Instability Negative Mode Morse Theory Configuration Space Topology Energy-reducing Sphere |
| ISSN号 | 0003-4916 |
| DOI | 10.1016/j.aop.2011.09.003 |
| 文献子类 | Article |
| 英文摘要 | The stability problem of non-Abelian monopoles with respect to "Brandt-Neri-Coleman type" variations reduces to that of a pure gauge theory on the two-sphere. Each topological sector admits exactly one stable monopole charge, and each unstable monopole admits 2 Sigma(2 vertical bar q vertical bar - 1) negative modes, where the sum goes over the negative eigenvalues q of an operator related to the non-Abelian charge Q of Goddard, Nuyts and Olive. An explicit construction for the [up-to-conjugation] unique stable charge, as well as the negative modes of the Hessian at any other charge is given. The relation to loops in the residual group is explained. From the global point of view, the instability is associated with energy-reducing two-spheres, which, consistently with the Morse theory, generate the homology of the configuration space. Our spheres are tangent to the negative modes at the considered critical point, and may indicate possible decay routes of an unstable monopole as a cascade into lower lying critical points. (C) 2011 Elsevier Inc. All rights reserved. |
| WOS关键词 | YANG-MILLS EQUATIONS ; SUPERSYMMETRIC QUANTUM-MECHANICS ; LOW-ENERGY SCATTERING ; MAGNETIC MONOPOLES ; GAUGE-THEORIES ; DIRACS MONOPOLE ; FIELD-THEORIES ; HIGGS FIELDS ; CHARGES ; STABILITY |
| 资助项目 | Chinese Academy of Sciences[2010TIJ06] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000299602600005 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://119.78.100.186/handle/113462/49111]  |
| 专题 | 中国科学院近代物理研究所 |
| 通讯作者 | Horvathy, Peter A. |
| 作者单位 | 1.Lab Math & Phys Theor, Tours, France 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou, Peoples R China 3.Univ Warwick, Inst Math, Coventry CV4 7AL, W Midlands, England |
| 推荐引用方式 GB/T 7714 | Zhang, Peng-Ming,Horvathy, Peter A.,Rawnsley, John. Topology, and (in)stability of non-Abelian monopoles[J]. ANNALS OF PHYSICS,2012,327:118-165. |
| APA | Zhang, Peng-Ming,Horvathy, Peter A.,&Rawnsley, John.(2012).Topology, and (in)stability of non-Abelian monopoles.ANNALS OF PHYSICS,327,118-165. |
| MLA | Zhang, Peng-Ming,et al."Topology, and (in)stability of non-Abelian monopoles".ANNALS OF PHYSICS 327(2012):118-165. |
入库方式： OAI收割
来源：近代物理研究所
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