NONRELATIVISTIC FERMIONS COUPLED TO TRANSVERSE GAUGE-FIELDS - THE SINGLE-PARTICLE GREENS-FUNCTION IN ARBITRARY DIMENSIONS

We use a bosonization approach to calculate the single-particle Green' s function G(r,tau) of nonrelativistic fermions coupled to transverse gauge fields in arbitrary dimension d. For the Maxwell action we find that in d>3 the system is a Fermi liquid, although for d<6 the quasipa rticle damping is anomalously large. For d-->3 the quasiparticle resid ue vanishes as Z(alpha)exp{-[1/2(d-3)](kappa/mc)(2)}, where kappa is t he Thomas-Fermi wave vector, m is the mass of the electrons, and c is the velocity of the gauge particle. In d=3 the system is a Luttinger l iquid, with anomalous dimension gamma(perpendicular to) = (1/6)(kappa/ mc)(2). For d<3 we find that G(r,0) vanishes as a stretched exponentia l at large distances.