Dv. Khveshchenko et Pce. Stamp, LOW-ENERGY PROPERTIES OF 2-DIMENSIONAL FERMIONS WITH LONG-RANGE CURRENT CURRENT INTERACTIONS, Physical review letters, 71(13), 1993, pp. 2118-2121
We calculate the one-particle Green function of 2D fermions interactin
g via a long-range transverse gauge field. Its asymptotic low-energy b
ehavior 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 m
uch stronger singularity which implies a more radical break-down of Fe
rmi liquid theory than the usual orthogonality catastrophe.