Symmetries of field theories on the non-commutative plane
arXiv:hep-th/0411139 · doi:10.1007/s11232-005-0120-z
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.
Reference corrected. Talk presented by LM at the International Workshop Nonlinear Physics: Theory and Experiment III. Gallipoli, (Lecce, Italy) 2004. To appear in Theor. Math. Phys. Latex 9 pages
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