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arXiv · hep-th/0001111

On the Equivalence between Noncommutative and Ordinary Gauge Theories

Seiji Terashima
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Abstract

Recently Seiberg and Witten have proposed that noncommutative gauge theories realized as effective theories on D-brane are equivalent to some ordinary gauge theories. This proposal has been proved, however, only for the Dirac-Born-Infeld action in the approximation of neglecting all derivative terms. In this paper we explicitly construct general forms of the 2n-derivative terms which satisfy this equivalence under their assumption in the approximation of neglecting (2 n+2)-derivative terms. We also prove that the D-brane action computed in the superstring theory is consistent with the equivalence neglecting the fourth and higher order derivative terms.

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Seiji Terashima. 2000-03-29. On the Equivalence between Noncommutative and Ordinary Gauge Theories. https://doi.org/10.1088/1126-6708%2F2000%2F02%2F029

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