We study the gauge dependence of the fermion propagator in quenched QED3 with
and without dynamical symmetry breaking in the light of its
Landau-Khalatnikov-Fradkin Transformation (LKFT). In the former case, starting
with the massive bare propagator in the Landau gauge, we obtain non
perturbative propagator in an arbitrary covariant gauge. At the one-loop level
it yields exact wavefunction renormalization and correct (αξ) terms
for the mass fuction. Also, we obtain valuable information for the higher order
perturbative expansion of the propagator. As for the case of dynamical chiral
symmetry breaking, we start by approximating the numerical solution to the
Schwinger-Dyson equation in Landau gauge in the rainbow approximation in terms
of analytic functions. We then LKF transform this result to obtain the
dynamically generated fermion propagator in an arbitrary covariant gauge. We
find that the results obtained have nice qualitative features. We also extend
this exercise to the cases involving more reliable ans\"atze for the vertex and
encounter similar (and improved) qualitative features.Comment: 6 pages, 6 figures. Contribution to the Proceedings of QCD Downunder
2004 Workshop, held at the Special Centre for the Subatomic Structure of
Matter, University of Adelaide, March, 2004. Uses espcrc2.st
