|As Contributors:||Petter Säterskog|
|Submitted by:||Säterskog, Petter|
|Submitted to:||SciPost Physics|
|Subject area:||Condensed Matter Physics - Theory|
We study a model in 1+2 dimensions composed of a spherical Fermi surface of $N_f$ 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 $N_f\rightarrow0$ followed by $k_F\rightarrow\infty$ where $k_F$ 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.
Added comment about importance of searching for instabilities.
Added missing definition of $r$ for Eq. 39.
The author's response addressed the main points of criticism regarding the previous draft, clarifying the issues at hand. I can recommend publication in the present form.