Topology, and (in)stability of non-Abelian monopoles

doi:10.1016/j.aop.2011.09.003

	Topology, and (in)stability of non-Abelian monopoles
	Zhang, Peng-Ming1,2 ; Horvathy, Peter A.1,2; Rawnsley, John 3
刊名	ANNALS OF PHYSICS
	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.
资助项目	Chinese Academy of Sciences[2010TIJ06]
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
WOS研究方向	Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000299602600005
内容类型	期刊论文
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.