Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-12-07
Phys.Rev. D71 (2005) 105007
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTeX
Scientific paper
10.1103/PhysRevD.71.105007
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 Schr\"odinger theory in a gravitational background generated by the gauge fields.
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