This article is cited in 2 papers

Symmetries of Field Theories on the Noncommutative Plane

P. A. Horváthy^a, L. Martina^b, P. C. Stichel

^a Universite de Tours
^b Lecce University

Abstract: 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.

DOI: 10.4213/tmf1832

 English version: Theoretical and Mathematical Physics, 2005, 144:1, 935–943

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