In this paper, using a ($2+1$)-dimensional field theory approach, we study the Aharonov-Bohm (AB) scattering with Lorentz symmetry breaking. We obtain the modified scattering amplitude to the AB effect due to the small Lorentz violation correction in the breaking parameter and prove that up to one loop the model is free from ultraviolet divergences.

• Received 12 May 2015

DOI:https://doi.org/10.1103/PhysRevD.92.085035