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

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

2000-06-08

arxiv.org/abs/hep-th/0006058v3

JHEP 0007 (2000) 033

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, no figures. minor corrections, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/07/033

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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