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arXiv · hep-th/9912070

On Open String Sigma-Model and Noncommutative Gauge Fields

Oleg Andreev·Harald Dorn
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Abstract

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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Oleg Andreev, Harald Dorn. 1999-12-14. On Open String Sigma-Model and Noncommutative Gauge Fields. https://doi.org/10.1016/s0370-2693(00)00138-6

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