Symmetries of field theories on the non-commutative plane
classification
✦ hep-th
keywords
fieldplanesymmetriesadmissibleboostscherncommutativecoupled
read the original 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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