Decomposition of Noncommutative U(1) Gauge Potential

作者：Liu Zi Yu; Li Xi Guo^*

来源：Communications in Theoretical Physics, 2008, 50(4): 943-946.

• noncommutative gauge potential
• Seiberg-Witten mapping
• vector field

We investigate the decomposition of noncommutative gauge potential (A) over cap (i), and find that it has inner structure, namely, (A) over cap (i) can he decomposed in two parts, (b) over cap (i) and (a) over cap (i), where (b) over cap (i) satisfies gauge transformations while (a) over cap (i) satisfies adjoint transformations, so close 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

• 出版日期2008-10-15
• 单位中国科学院近代物理研究所; 咸阳师范学院