Non-Abelian Aharonov-Bohm scattering of spin 1/2 particles - art. no. 045019

We study the low energy regime of the scattering of two fermionic particles carrying isospin 1/2 and interacting through a non-Abelian Chern-Simons fi eld. We calculate the one-loop scattering amplitude for both the nonrelativ istic and also for the relativistic theory. In the relativistic case we int roduce an intermediate cutoff, separating the regions with low and high loo p momenta integration. In this procedure purely relativistic field theory e ffects as the vacuum polarization and anomalous magnetic moment corrections are automatically incorporated.