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Abstract: We investigate the decomposition of noncommutative gauge potential$\hat{A {i}}$, and find it has inner structure, namely, $\hat{A {i}}$ can bedecomposed in two parts $\hat{b {i}}$ and $\hat{a {i}}$, here $\hat{b {i}}$satisfies gauge transformations while $\hat{a {i}}$ satisfies adjointtransformations, so dose the Seiberg-Witten mapping of noncommutative U1gauge potential. By means of Seiberg-Witten mapping, we construct a mapping ofunit vector field between noncommutative space and ordinary space, and find thenoncommutative U1 gauge potential and its gauge field tenser can be expressedin terms of the unit vector field. When the unit vector field has nonsingularity point, noncommutative gauge potential and gauge field tenser willequal to ordinary gauge potential and gauge field tenser.



Autor: Ziyu Liu, Xiguo Lee

Fuente: https://arxiv.org/







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