Noncommutative planar particle dynamics with gauge interactions
Jul, 2002Citations per year
Abstract:
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.Note:
- 24 pages - version to be published in Annals of Physics
- particle: nonrelativistic
- dimension: 3
- space-time: noncommutative
- invariance: reparametrization
- Seiberg-Witten map
- Chern-Simons term
- gauge field theory: abelian
- anyon
- Hall effect
- electromagnetic field: background field
References(38)
Figures(0)