  We apply the coherent state approach to study Aharonov-Bohm effect in the
field theory context. We verify that, contrarily to the commutative result, the
scattering amplitude is ultraviolet finite. However, we have logarithmic
singularities as the noncommutative parameter tends to zero. Thus, the
inclusion of a quartic self-interaction for the scalar field is necessary to
obtain a smooth commutative limit.
