On Open String Sigma-Model and Noncommutative Gauge Fields

Details On Open String Sigma-Model and Noncommutative Gauge Fields On Open String Sigma-Model and Noncommutative Gauge Fields

1999-12-08

arxiv.org/abs/hep-th/9912070v2

Phys.Lett. B476 (2000) 402-410

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, remark and refs. added

Scientific paper

10.1016/S0370-2693(00)00138-6

We consider the ordinary and noncommutative Dirac-Born-Infeld theories within the open string sigma-model. First, we propose a renormalization scheme, hybrid point splitting regularization, that leads directly to the Seiberg-Witten description including their two-form. We also show how such a form appears within the standard renormalization scheme just by some freedom in changing variables. Second, we propose a Wilson factor which has the noncommutative gauge invariance on the classical level and then compute the sigma-model partition function within one of the known renormalization scheme that preserves the noncommutative gauge invariance. As a result, we find the noncommutative Yang-Mills action.

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