Inner structure of Spin(c)(4) gauge potential on 4-dimensional manifolds

doi:10.1016/j.aop.2008.06.002

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	Inner structure of Spin(c)(4) gauge potential on 4-dimensional manifolds
	Duan, Yi-shi 2; Liu, Xin 1; Yang, Wen-li 1,3; Zhang, Yao-zhong 1
刊名	ANNALS OF PHYSICS
	2008-09-01
卷号	323 期号:9 页码:2107-2114
关键词	Spin(c)(4) gauge potential decomposition U(1) characterizing equation Seiberg-Witten theory
ISSN号	0003-4916
DOI	10.1016/j.aop.2008.06.002
英文摘要	The decomposition of Spin(c)(4) gauge potential in terms of the Dirac 4-spinor is investigated, where an important characterizing equation Delta A(mu) = -lambda A(mu) has been discovered. Here, lambda is the vacuum expectation value of the spinor field, lambda = parallel to Phi parallel to(2), and A(mu) the twisting U(1) potential. It is found that when), takes constant values, the characterizing equation becomes an eigenvalue problem of the Laplacian operator. It provides a revenue to determine the modulus of the spinor field by using the Laplacian spectral theory. The above study could be useful in determining the spinor field and twisting potential in the Seiberg-Witten equations. Moreover, topological characteristic numbers of instantons in the self-dual sub-space are also discussed. (C) 2008 Elsevier Inc. All rights reserved.
资助项目	IPRS ; UQGSS ; GSRTA ; National Natural Science Foundation of PR China ; Australian Research Council
WOS关键词	YANG-MILLS THEORY ; MAXWELL EQUATIONS ; SPINOR REPRESENTATION ; QUANTUM-MECHANICS ; DECOMPOSITION ; DIMENSIONS ; VARIABLES ; DUALITY ; FIELD
WOS研究方向	Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000258839400001
资助机构	IPRS ; UQGSS ; GSRTA ; National Natural Science Foundation of PR China ; Australian Research Council
公开日期	2010-10-29
内容类型	期刊论文
源URL	[http://ir.imp.cas.cn/handle/113462/5519]
专题	近代物理研究所_近代物理研究所知识存储（2010之前）
通讯作者	Liu, Xin
作者单位	1.Univ Queensland, Dept Math, Brisbane, Qld 4072, Australia 2.Lanzhou Univ, Inst Theoret Phys, Lanzhou 730000, Peoples R China 3.NW Univ Xian, Inst Modern Phys, Xian 710069, Peoples R China
推荐引用方式 GB/T 7714	Duan, Yi-shi,Liu, Xin,Yang, Wen-li,et al. Inner structure of Spin(c)(4) gauge potential on 4-dimensional manifolds[J]. ANNALS OF PHYSICS,2008,323(9):2107-2114.
APA	Duan, Yi-shi,Liu, Xin,Yang, Wen-li,&Zhang, Yao-zhong.(2008).Inner structure of Spin(c)(4) gauge potential on 4-dimensional manifolds.ANNALS OF PHYSICS,323(9),2107-2114.
MLA	Duan, Yi-shi,et al."Inner structure of Spin(c)(4) gauge potential on 4-dimensional manifolds".ANNALS OF PHYSICS 323.9(2008):2107-2114.