Seiberg-Witten map and Galilean symmetry violation in a non-commutative planar system
Chakraborty, Biswajit · Gangopadhyay, Sunandan · Saha, Anirban
Original · EN
An effective U(1) gauge invariant theory is constructed for a non-commutative Schrodinger field coupled to a background U(1)⋆ gauge field in 2+1-dimensions using first order Seiberg-Witten map. We show that this effective theory can be cast in the form of usual Schrodinger action with interaction terms of noncommutative origin provided the gauge field is of ``background'' type with constant magnetic field. The Galilean symmetry is investigated and a violation is found in the boost sector. We also consider the problem of Hall conductivity in this framework.
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