# A Framework for Studying a Quantum Critical Metal in the Limit $N_f\rightarrow0$

### Submission summary

 As Contributors: Petter Säterskog Arxiv Link: http://arxiv.org/abs/1711.04338v2 Date submitted: 2018-02-06 Submitted by: Säterskog, Petter Submitted to: SciPost Physics Domain(s): Theoretical Subject area: Condensed Matter Physics - Theory

### Abstract

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.

#### Current status:

Undergoing voting at the Editorial College

### List of changes

Added missing definition of $r$ for Eq. 39.

### Submission & Refereeing History

Resubmission 1711.04338v2 (6 February 2018)
Submission 1711.04338v1 (21 November 2017)

## Invited Reports on this Submission

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### Report

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.

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