A Road to Perturbative Non-Fermi Liquids

One of our main motivations for developing the coadjoint orbit formalism for Fermi liquids was to resolve the drawbacks of Fermi liquid theory that manifest themselves as serious bottlenecks when coupling to a gapless mode and studying the RG flow to a non-Fermi liquid. Here we demonstrate how the postmodern formalism is particularly suitable for a scaling analysis of non-Fermi liquids, being able to capture interactions in the theory that earlier approaches cannot. We present a preliminary scaling analysis of the non-Fermi liquid, identifying relevant and irrelevant operators.