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Topological Quantization of Instantons in SU(2) Yang-Mills Theory
引用本文:钟握军,;段一士.Topological Quantization of Instantons in SU(2) Yang-Mills Theory[J].中国物理快报,2008,25(5):1534-1537.
作者姓名:钟握军  ;段一士
作者单位:[1]Department of Physics and Electronic Information, Gannan Teacher's College, Ganzhou 341000; [2]Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
摘    要:By decomposing SU(2) gauge potential in four-dimensional Euclidean SU(2) Yang-Mills theory in a new way, we find that the instanton number related to the isospin defects of a doublet order parameter can be topologically quantized by the Hopf index and Brouwer degree. It is also shown that the instanton number is just the sum of the topological charges of the isospin defects in the non-trivial sector of Yang-Mills theory.

关 键 词:拓扑量化  杨密SU(2)规范理论  瞬子  量子学
收稿时间:2007-9-3

Topological Quantization of Instantons in SU(2) Yang--Mills Theory
ZHONG Wo-Jun,DUAN Yi-Shi.Topological Quantization of Instantons in SU(2) Yang--Mills Theory[J].Chinese Physics Letters,2008,25(5):1534-1537.
Authors:ZHONG Wo-Jun  DUAN Yi-Shi
Institution:Department of Physics and Electronic Information, Gannan Teacher's College, Ganzhou 341000Institute of Theoretical Physics, Lanzhou University, Lanzhou 730000
Abstract:By decomposing SU(2) gauge potential in four-dimensional Euclidean SU(2) Yang--Mills theory in a new way, we find that the instanton number related to the isospin defects of a doublet order parameter can be topologically quantized by the Hopf index and Brouwer degree. It is also shown that the instanton number is just the sum of the topological charges of the isospindefects in the non-trivial sector of Yang--Mills theory.
Keywords:02  40  Pc  11  15  -q
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