Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-15
Phys.Rev. D70 (2004) 085005; Erratum-ibid. D70 (2004) 089903
Physics
High Energy Physics
High Energy Physics - Theory
20 pages, 5 figures
Scientific paper
10.1103/PhysRevD.70.085005
We study a noncommutative nonrelativistic theory in 2+1 dimensions of a scalar field coupled to the Chern-Simons field. In the commutative situation this model has been used to simulate the Aharonov-Bohm effect in the field theory context. We verified that, contrarily to the commutative result, the inclusion of a quartic self-interaction of the scalar field is not necessary to secure the ultraviolet renormalizability of the model. However, to obtain a smooth commutative limit the presence of a quartic gauge invariant self-interaction is required. For small noncommutativity we fix the corrections to the Aharonov-Bohm scattering and prove that up to one-loop the model is free from dangerous infrared/ultraviolet divergences.
Anacleto M. A.
da Silva Adilson Jose
Gomes Marcelo
Spehler D.
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