  Using noncommutative deformed canonical commutation relations, a model
describing a noncommutative complex scalar field theory is considered. Using
the path integral formalism, the noncommutative free and exact propagators are
calculated to one-loop order and to the second order in the parameter of
noncommutativity. Dimensional regularization was used to remove ultraviolet
divergences that arise from loop graphs. It has been shown that these
divergences may also be absorbed into a redefinition of the parameters of the
theory.

High Energy Physics - Theory