  The recent progress on 1 D interacting electrons systems and their
applications to study the transport properties of quasi one dimensional wires
is reviewed. We focus on strongly correlated electrons coupled to low energy
acoustic phonons in one dimension. The Wentzel--Bardeen singularity suppresses
antiferromagnetic fluctuations and pushes the system toward the metallic phase
via an intermediate, metallic phase. The implications of this phenomenon on the
transport properties of an ideal wire as well as the properties of a wire with
weak or strong scattering are analyzed in a perturbative renormalization group
calculation. This allows to recover the three regimes predicted from the
divergence criteria of the response functions.
