Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-10-26
Phys.Rev. D71 (2005) 105005
Physics
High Energy Physics
High Energy Physics - Theory
minor corrections and some references added
Scientific paper
10.1103/PhysRevD.71.105005
We consider 2+1 dimensional noncommutative models of scalar and fermionic fields coupled to the Chern-Simons field. We show that, at least up to one loop, the model containing only a fermionic field in the fundamental representation minimally coupled to the Chern-Simons field is consistent in the sense that there are no nonintegrable infrared divergences. By contrast, dangerous infrared divergences occur if the fermion field belongs to the adjoint representation or if the coupling of scalar matter is considered instead. The superfield formulation of the supersymmetric Chern-Simons model is also analyzed and shown to be free of nonintegrable infrared singularities and actually finite if the matter field belongs to the fundamental representation of the supergauge group. In the case of the adjoint representation this only happens in a particular gauge.
Asano E. A.
Brito L. C. T.
da Silva Adilson Jose
Gomes Marcelo
Petrov Aleksandr Yu.
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