M. Chaichian et al., DIFFERENTIAL REGULARIZATION OF CHERN-SIMONS-MAXWELL SPINOR AND SCALARELECTRODYNAMICS, Physics letters. Section B, 409(1-4), 1997, pp. 325-330
Differential regularization is used to investigate the one-loop quantu
m corrections to Chem-Simons-Maxwell spinor and scalar electrodynamics
, We illustrate the techniques to write the loop amplitudes in coordin
ate space. The short-distance expansion method is developed to perform
the Fourier transformation of the amplitudes into momentum space and
the possible renormalization ambiguity in Chem-Simons type gauge theor
ies in terms of differential regularization is discussed. We also stre
ss that the surface terms appearing in the differential regularization
should be kept along for finite theories and they will result in the
finite renormalization ambiguity. (C) 1997 Published by Elsevier Scien
ce B.V.