LOW-ENERGY PROPERTIES OF 2-DIMENSIONAL FERMIONS WITH LONG-RANGE CURRENT CURRENT INTERACTIONS

We calculate the one-particle Green function of 2D fermions interacting via a long-range transverse gauge field. Its asymptotic low-energy behavior is found within the eikonal expansion which consistently sums the infrared divergent terms given by ''maximally crossed diagrams.'' Instead of power law corrections to Fermi liquid theory we observe a much stronger singularity which implies a more radical break-down of Fermi liquid theory than the usual orthogonality catastrophe.