On the Equivalence between Noncommutative and Ordinary Gauge Theories

Details On the Equivalence between Noncommutative and Ordinary Gauge Theories On the Equivalence between Noncommutative and Ordinary Gauge Theories

2000-01-18

arxiv.org/abs/hep-th/0001111v3

JHEP 0002 (2000) 029

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX, no figures. minor corrections, references added, note added is changed, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2000/02/029

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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