Symmetries of field theories on the non-commutative plane

P. A. Horvathy; L. Martina; P. C. Stichel

doi:10.1007/s11232-005-0120-z

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arXiv · hep-th/0411139

Symmetries of field theories on the non-commutative plane

P. A. Horvathy·L. Martina·P. C. Stichel

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Abstract

New developments on the symmetries of non-relativistic field theoretical models on the non commutative plane are reviewed. It is shown in particular that Galilean invariance strongly restricts the admissible interactions. Moreover, if a scalar field is coupled to a Chern - Simons gauge field, a geometrical phase emerges for vortex - like solutions, transformed by Galilei boosts.

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P. A. Horvathy, L. Martina, P. C. Stichel. 2004-12-23. Symmetries of field theories on the non-commutative plane. https://doi.org/10.1007/s11232-005-0120-z

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