Symmetries of field theories on the non-commutative plane

Details Symmetries of field theories on the non-commutative plane Symmetries of field theories on the non-commutative plane

2004-11-15

arxiv.org/abs/hep-th/0411139v3

Teor.Mat.Fiz. 144 (2005) 64-73

Physics

High Energy Physics

High Energy Physics - Theory

Reference corrected. Talk presented by LM at the International Workshop Nonlinear Physics: Theory and Experiment III. Gallipol

Scientific paper

10.1007/s11232-005-0120-z

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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