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arXiv · hep-th/0312292

Seiberg-Witten map and Galilean symmetry violation in a non-commutative planar system

Biswajit Chakraborty·Sunandan Gangopadhyay·Anirban Saha
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Abstract

An effective U(1) gauge invariant theory is constructed for a non-commutative Schrodinger field coupled to a background U(1)_{\star} 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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Biswajit Chakraborty, Sunandan Gangopadhyay, Anirban Saha. 2004-12-01. Seiberg-Witten map and Galilean symmetry violation in a non-commutative planar system. https://doi.org/10.1103/physrevd.70.107707

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