Spin-1 massive particles coupled to a Chern-Simons field - art. no. 125016

We study spin-one particles interacting through a Chem-Simons field. In the Born approximation, we calculate the two body scattering amplitude conside ring three possible ways to introduce the interaction: (a) a Proca-like mod el minimally coupled to a Chem-Simons field, (b) the model obtained from (a ) by replacing the Proca's mass by a Chem-Simons term, and (c) a complex Ma xwell-Chem-Simons model minimally coupled to a Chern-Simons field. In the l ow energy regime the results show similarities with the Aharonov-Bohm scatt ering for spin-1/2 particles. We discuss the one loop renormalization progr am for the Proca model. In spite of the bad ultraviolet behavior of the mat ter field propagator, we show that, up to one loop, the model is power coun ting renormalizable thanks to the Ward identities satisfied by the interact ion vertices. [S0556-2821(99)04422-7].