Exact solutions to noncommutative 3D Maxwell-Chern-Simons theory yield finite energy for point charges, permit arbitrary magnetic flux through non-perturbative dependence on the deformation parameter, and include a generalized Gauss law.
A novel approach to non-commutative gauge theory
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Poisson Gauge Theories in Three Dimensions: Exact Solutions and Conservation Laws
Exact solutions to noncommutative 3D Maxwell-Chern-Simons theory yield finite energy for point charges, permit arbitrary magnetic flux through non-perturbative dependence on the deformation parameter, and include a generalized Gauss law.