Akademik Veri Yönetim Sistemi
Journal of Physics A: Mathematical and General, cilt.31, sa.15, ss.3531-3543, 1998 (SCI-Expanded)
Starting from the non-relativistic field theory of spin-1/2 fermions interacting through the Abelian Chern-Simons term, we show that the quantized fluid theory leads, in the two-particle sector, to a two-particle Aharonov-Bohm-like Schrödinger equation with an antisymmetric (fermionic) wavefunction and without a delta function term. Calculating perturbatively the field-theoretic two-particle scattering amplitude up to one-loop order, we show that, in contrast to the scalar theory, the contribution of all the one-loop diagrams is finite and null, and that of the tree level ones coincides with the exact amplitude. Further, the Pauli matter-magnetic field interaction term is shown not to contribute to the amplitude to this order.