COULOMB INTERACTION AND THE FERMI-LIQUID STATE - SOLUTION BY BOSONIZATION

We investigate the effects of die Coulomb two-body interaction on Ferm i liquids via bosonization in two and three spatial dimensions. The Co ulomb interaction is singular in the limit of low momentum transfer, a nd recent interest in the possibility that some singular interactions might destroy the Fermi liquid state motivate us to reexamine it. We c alculate the exact boson correlation function to show that the Fermi l iquid state is retained in the case of Coulomb interactions in two and three dimensions. Spin and charge degrees of freedom propagate togeth er at the same velocity and collective charge excitations (plasmons) e xhibit the expected energy gap in three dimensions. Non-Fermi liquid b ehaviour occurs in two dimensions, however, for a super-long-range int eraction studied recently by Bares and Wen.