Noncommutative Field Theory: Nonrelativistic Fermionic Field Coupled to the Chern-Simons Field in 2+1 Dimensions
arXiv:hep-th/0411168 · doi:10.1103/PhysRevD.71.107701
Abstract
We study a noncommutative nonrelativistic fermionic field theory in 2+1 dimensions coupled to the Chern-Simons field. We perform a perturbative analysis of model and show that up to one loop the ultraviolet divergences are canceled and the infrared divergences are eliminated by the noncommutative Pauli term.
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Cited by in corpus (7)
- Analogue Aharonov-Bohm effect in a Lorentz-violating background
- Gravitational Aharonov-Bohm effect due to noncommutative BTZ black hole
- Analogue Aharonov-Bohm effect in neo-Newtonian theory
- Noncommutative analogue Aharonov-Bohm effect and superresonance
- Scattering of spin 1/2 particles by the 2+1 dimensional noncommutative Aharonov-Bohm potential
- Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
- Remarks on the Formulation of Quantum Mechanics on Noncommutative Phase Spaces