Radiative corrections to the Aharonov-Bohm scattering - art. no. 016003

We consider the scattering of relativistic electrons from a thin magnetic f lux tube and perturbatively calculate the order a radiative correction to t he first order Born approximation. We show also that the second order Born amplitude vanishes, and obtain a finite inclusive cross section for the one -body scattering which incorporates soft photon bremsstrahlung effects. Mor eover, we determine the radiatively corrected Aharonov-Bohm potential and, in particular, verify that an induced magnetic field is generated outside o f the flux tube.