Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-12-06
Phys.Lett. B478 (2000) 313-319
Physics
High Energy Physics
High Energy Physics - Theory
13 Pages, RevTex, added references
Scientific paper
10.1016/S0370-2693(00)00248-3
We derive the noncommutative Dirac-Born-Infeld action for the $D$-brane, which governs dynamics of $D$-brane with a NS-NS $B$-field in the low energy regime. Depending on some details of the path integral prescriptions, both ordinary Dirac-Born-Infeld action and noncommutative one can be obtained by evaluating the same Polyakov string path integral for the open string ending on the $D$-brane. Thus, it establishes the equivalence of the noncommutative Dirac-Born-Infeld action and the ordinary one.
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