Gauge Invariance and Duality in the Noncommutative Plane

Details Gauge Invariance and Duality in the Noncommutative Plane Gauge Invariance and Duality in the Noncommutative Plane

2002-10-11

arxiv.org/abs/hep-th/0210107v3

Phys.Lett. B558 (2003) 245-249

Physics

High Energy Physics

High Energy Physics - Theory

Section added showing the duality to be valid to all orders in the noncommutative parameter. Paper to appear in Phys.Lett.B

Scientific paper

10.1016/S0370-2693(03)00277-6

We show that the duality between the self-dual and Maxwell-Chern-Simons theories in 2+1-dimensions survives when the space-time becomes noncommutative. Existence of the Seiberg-Witten map is crucial in the present analysis. It should be noted that the above models, being manifestly gauge variant and invariant respectively, transform differently under the Seiberg-Witten map. We also discuss this duality in the Stuckelberg formalism where the self-dual model is elevated to a gauge theory. The "`master"' lagrangian approach has been followed throughout.

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