| Decomposition of Noncommutative U（1） Gauge Potential |
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| 作者姓名： | LIU Zi-Yu ;LI Xi-Guo |
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| 作者单位： | [1]Department of Physics, Xianyang Normal University, Xianyang 712000, China; [2]Institute of Modern Physics, Chinese Academy of Sciences, P.O. Box 31, Lanzhou 730000, China; [3]Center of Theoretical Nuclear Physics, National Laboratory of Heavy Ion Collisions, Lanzhou 730000, China |
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| 基金项目： | The project supported by the Talent Introduction Project of Xianyang Normal University under Grant No. 07XSYIK217 |
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| 摘 要： | We investigate the decomposition of noncommutative gauge potential Ai, and find that it has inner structure, namely, Ai can be decomposed in two parts, bi and αi, where bi satisfies gauge transformations while αi satisfies adjoint transformations, so dose the Seiberg-Witten mapping of noncommutative U（1） gauge potential. By means of Seiberg-Witten mapping, we construct a mapping of unit vector field between noncommutative space and ordinary space, and find the noncommutative U（1） gauge potential and its gauge field tensor can be expressed in terms of the unit vector field. When the unit vector field has no singularity point, noncommutative gauge potential and gauge field tensor will equal ordinary gauge potential and gauge field tensor
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| 关 键 词： | 非交换标准 电位 映射 矢量域 |
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