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arXiv · hep-th/0412069

U(1) gauge invariant noncommutative Schrödinger theory and gravity

B. Muthukumar
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Abstract

We consider the complex, massive Klein-Gordon field living in the noncommutative space, and coupled to noncommutative electromagnetic fields. After employing the Seiberg-Witten map to first order, we analyze the noncommutative Klein-Gordon theory as $ c $, the velocity of light, goes to infinity. We show that the theory exhibits a regular "magnetic" limit only for certain forms of magnetic fields. The resulting theory is nothing but the Schrödinger theory in a gravitational background generated by the gauge fields.

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B. Muthukumar. 2004-12-07. U(1) gauge invariant noncommutative Schrödinger theory and gravity. https://doi.org/10.1103/physrevd.71.105007

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