Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-10-02
Phys.Rev. D57 (1998) 3579-3584
Physics
High Energy Physics
High Energy Physics - Theory
12 pages, 2 figures, revtex; Minor corrections
Scientific paper
10.1103/PhysRevD.57.3579
Starting from a relativistic quantum field theory, we study the low energy scattering of two fermions of opposite spins interacting through a Chern-Simons field. Using the Coulomb gauge we implement the one loop renormalization program and discuss vacuum polarization and magnetic moment effects. We prove that the induced magnetic moments for spin up and spin down fermions are the same. Next, using an intermediary auxiliary cutoff the scattering amplitude is computed up to one loop. Similarly to Aharonov-Bohm effect for spin zero particles, the low energy part of the amplitude contains a logarithmic divergence in the limit of very high intermediary cutoff. In our approach however the needed counterterm is automatically provided without any additional hypothesis.
da Silva Adilson Jose
Gomes Marcelo
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