  A non-perturbative construction of the 3-point fermion-boson vertex which
obeys its Ward-Takahashi or Slavnov-Taylor identity, ensures the massless
fermion and boson propagators transform according to their local gauge
covariance relations, reproduces perturbation theory in the weak coupling
regime and provides a gauge independent description for dynamical chiral
symmetry breaking (DCSB) and confinement has been a long-standing goal in
physically relevant gauge theories such as quantum electrodynamics (QED) and
quantum chromodynamics (QCD). In this paper, we demonstrate that the same
simple and practical form of the vertex can achieve these objectives not only
in 4-dimensional quenched QED (qQED4) but also in its 3-dimensional counterpart
(qQED3). Employing this convenient form of the vertex \emph{ansatz} into the
Schwinger-Dyson equation (SDE) for the fermion propagator, we observe that it
renders the critical coupling in qQED4 markedly gauge independent in contrast
with the bare vertex and improves on the well-known Curtis-Pennington
construction. Furthermore, our proposal yields gauge independent order
parameters for confinement and DCSB in qQED3.
