Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-point function of a $d=2$ quantum critical metal in the limit
  $k_F\rightarrow\infty$, $N_f\rightarrow 0$ with $N_fk_F$ fixed   We show that the fermionic and bosonic spectrum of $d=2$ fermions at finite
density coupled to a critical boson can be determined non-perturbatively in the
combined limit $k_F\rightarrow {\infty}$, $N_f \rightarrow 0$ with $N_fk_F$
fixed. In this double scaling limit, the boson two-point function is corrected,
but only at one-loop. This double scaling limit therefore incorporates the
leading effect of Landau damping. The fermion two-point function is determined
analytically in real space and numerically in (Euclidean) momentum space. The
resulting spectrum is discontinuously connected to the quenched $N_f\rightarrow
0$ result. For $\omega \rightarrow 0$ with $k$ fixed the spectrum exhibits the
distinct non-Fermi-liquid behavior previously surmised from the RPA
approximation. However, the exact answer obtained here shows that the RPA
result does not fully capture the IR of the theory.

21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
2
The categories of this paper are: math
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th