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

文献类型：期刊论文

作者Duan, Yi-shi2; Liu, Xin1; Yang, Wen-li1,3; Zhang, Yao-zhong1
刊名ANNALS OF PHYSICS
出版日期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
DOI10.1016/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.
WOS关键词YANG-MILLS THEORY ; MAXWELL EQUATIONS ; SPINOR REPRESENTATION ; QUANTUM-MECHANICS ; DECOMPOSITION ; DIMENSIONS ; VARIABLES ; DUALITY ; FIELD
资助项目IPRS ; UQGSS ; GSRTA ; National Natural Science Foundation of PR China ; Australian Research Council
WOS研究方向Physics
语种英语
WOS记录号WOS:000258839400001
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
资助机构IPRS ; UQGSS ; GSRTA ; National Natural Science Foundation of PR China ; Australian Research Council
公开日期2010-10-29
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.

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来源：近代物理研究所

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