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The Non-Abelian Born-Infeld Action and Noncommutative gauge theory

Seiji Terashima
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Abstract

In this paper we explicitly show the equivalence between the non-Abelian Born-Infeld action, which was proposed by Tseytlin as an effective action on several D-branes, and its noncommutative counterpart for slowly varying fields. This confirms the equivalence between the two descriptions of the D-branes using an ordinary gauge theory with a constant B field background and a noncommutative gauge theory, claimed by Seiberg and Witten. We also construct the general forms of the 2 n-derivative terms for non-Abelian gauge fields which are consistent with the equivalence in the approximation of neglecting (2 n+2)-derivative terms.

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Seiji Terashima. 2000-10-04. The Non-Abelian Born-Infeld Action and Noncommutative gauge theory. https://doi.org/10.1088/1126-6708%2F2000%2F07%2F033

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