Nonrelativistic fermions coupled to transverse gauge fields: The single-particle Green’s function in arbitrary dimensions

We use a bosonization approach to calculate the single-particle Green's function G(r,{τ}) 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 d6 the quasiparticle damping is anomalously large. For d{→}3 the quasiparticle residue vanishes as Z{∝}exp{-[1/2(d-3)]({κ}/mc)²}, where {κ} is the 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 liquid, with anomalous dimension γ_⊥=(1/6)({κ}/mc)². For d3 we find that G(r,0) vanishes as a stretched exponential at large distances. {} 1996 The American Physical Society.