General relativistic analog solutions for Yang-Mills theory on noncommutative space-time

A model of gauge theory with U(2) as local symmetry group is developed over a noncommutative space-time. The integral of the action is written considering a gauge field coupled with a Higgs multiplet. The gauge fields are calculated up to the first order in the noncommutativity parameter using the equations of motion and Seiberg-Witten map. The solutions are determined supposing that in zero-th order they have a general relativistic analog form. The Wu-Yang Ansatz for the gauge fields is used to solve the field equations. Some comments on the quantization of the electric and magnetic charges are also given, with a comparison between commutative and noncommutative cases. (author)