Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-07-16
Annals Phys. 306 (2003) 78-95
Physics
High Energy Physics
High Energy Physics - Theory
24 pages - version to be published in Annals of Physics
Scientific paper
10.1016/S0003-4916(03)00010-1
We consider two ways of introducing minimal Abelian gauge interactions into the model presented in [1]. They are different only if the second central charge of the planar Galilei group is nonzero. One way leads to standard gauge transformations and second to a generalized gauge theory with gauge transformations accompanied by time-dependent area-preserving coordinate transformations. Both approaches, however, are related to each other by a classical Seiberg-Witten map supplemented by the noncanonical transformation of the phase space variables for planar particles. We also formulate the two-body problem in the model with a generalized gauge symmetry and consider the case with both CS and background electromagnetic fields, as it is used in the description of fractional quantum Hall effect.
Lukierski Jerzy
Stichel Peter C.
Zakrzewski Wojtek J.
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