  It is physically expected that plane-wave configurations of the electron in
QED induce disjoint representations of the algebra of the electromagnetic
fields. This phenomenon of velocity superselection, which is one aspect of the
infrared problem, is mathematically well established in non-relativistic
(Pauli-Fierz type) models of QED. We show that velocity superselection can be
resolved in such models by restricting the electron states to the subalgebra of
the fields localized in the future lightcone. This actually follows from a more
general statement about equivalence of GNS representations for coherent states
of the algebra of the future lightcone in free electromagnetism. Our analysis
turns out to be meaningful in the non-relativistic setting and provides
evidence in favour of the Buchholz-Roberts approach to infrared problems.
