Low-energy properties of the homogeneous electron gas in one dimension are
completely described by the group velocities of its charge (plasmon) and sp
in collective excitations. Because of the long range of the electron-electr
on interaction, the plasmon velocity is dominated by an electrostatic contr
ibution and can be estimated accurately. We report on Quantum Monte Carlo s
imulations which demonstrate that the spin velocity is substantially decrea
sed by interactions in semiconductor quantum wire realizations of the one-d
imensional electron liquid.