  We study the quasiparticle properties of two-dimensional massless Dirac
Fermions when the many-body states possess a finite momentum density in the
clean limit. The lack of Galilean invariance endows the many-body states at
finite momentum density with qualitative differences from those of the system
at rest. At finite carrier densities we demonstrate the appearance of a
current-induced distortion of the pseudospin texture in momentum space that can
be viewed as a drag of the Dirac point and the origin of which lies entirely in
electron-electron interactions. We discuss the potential observation of this
effect in graphene.
