  We investigate the effects of the Coulomb two-body interaction on Fermi
liquids via bosonization. The Coulomb interaction is singular in the limit of
low momentum transfer, and recent interest in the possibility that some
singular interactions might destroy the Fermi liquid state motivate us to
reexamine it. We calculate the exact boson correlation function to show that
the Fermi liquid state is retained in the case of Coulomb interactions. Spin
and charge degrees of freedom propagate together at the same velocity and
collective charge excitations (plasmons) exhibit the expected energy gap in
three dimensions. Non-Fermi liquid behavior occurs, however, for a super long
range interaction studied recently by Bares and Wen.
