The effect of Fermi surface curvature on low-energy properties of fermions with singular interactions

摘要

We discuss the effect of Fermi surface curvature on long-distance/timeasymptotic behaviors of two-dimensional fermions interacting via a gapless modedescribed by an effective gauge field-like propagator. By comparing thepredictions based on the idea of multi-dimensional bosonization with those ofthe strong- coupling Eliashberg approach, we demonstrate that an agreementbetween the two requires a further extension of the former technique.