Perturbative non-Fermi liquids from bosonization

We use the nonlinear Fermi surface bosonization of [Phys.Rev.Research 4, 033131] to develop new perturbative schemes to study non-Fermi liquids. The bosonized formalism eliminates the need for decomposing the Fermi surface into patches, and allows for a systematic analysis of the consequences of Fermi surface curvature as well as nonlinearities from the dispersion relation in non-Fermi liquids.