U(1) gauge invariant noncommutative Schrödinger theory and gravity

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.

15 pages, LaTeX

References in corpus (1)

• Wavepackets and Duality in Noncommutative Planar Quantum Mechanics

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