M. Chaichian et al., ON QUANTUM CORRECTIONS TO CHERN-SIMONS SPINOR ELECTRODYNAMICS, The European Physical Journal. C: Particles and Fields, 5(3), 1998, pp. 545-552
We make a detailed investigation on the quantum corrections to Chern-S
imons spinor electrodynamics. Starting from Chern-Simons spinor quantu
m electrodynamics with the Maxwell term -1/(4 gamma)integral d(3)xF(mu
v)F(mu v) and by calculating the vacuum polarization tensor, electron
self energy and on-shell vertex, we explicitly show that the Ward ide
ntity is satisfied and hence verify that the physical quantities are i
ndependent of the procedure of taking y-->infinity at tree and one-loo
p levels. In particular, we find the three-dimensional analogue of the
Schwinger anomalous magnetic moment term of the electron produced fro
m the quantum corrections.