Geodesic
Symmetries of Field Theories on the Noncommutative Plane
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 64-73

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We report new developments concerning the symmetry properties and their actions on special solutions allowed by certain field theory models on the noncommutative plane. In particular, we seek Galilean-invariant models. The analysis indicates that this requirement strongly restricts the admissible interactions. Moreover, if a scalar field is coupled to a gauge field, then a geometric phase emerges for vortexlike solutions transformed by Galilean boosts.
Keywords: symmetries of field theories, noncommutative plane, Chern–Simons field. 
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     author = {P. A. Horv\'athy and L. Martina and P. C. Stichel},
     title = {Symmetries of {Field} {Theories} on the {Noncommutative} {Plane}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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P. A. Horváthy; L. Martina; P. C. Stichel. Symmetries of Field Theories on the Noncommutative Plane. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 64-73. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a6/