We study a model in 1+2 dimensions composed of a spherical Fermi surface of Nf flavors of fermions coupled to a massless scalar. We present a framework to non-perturbatively calculate general fermion n-point functions of this theory in the limit Nf→0 followed by kF→∞ where kF sets both the size and curvature of the Fermi surface. Using this framework we calculate the zero-temperature fermion density-density correlation function in real space and find an exponential decay of Friedel oscillations.
@article{arxiv.1711.04338,
title = {A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$},
author = {Petter Säterskog},
journal= {arXiv preprint arXiv:1711.04338},
year = {2018}
}