Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-perturbative emergence of non-Fermi liquid behaviour in $d=2$
  quantum critical metals   We consider the planar local patch approximation of $d=2$ fermions at finite
density coupled to a critical boson. In the quenched or Bloch-Nordsieck
approximation, where one takes the limit of fermion flavors $N_f\rightarrow 0$,
the fermion spectral function can be determined {exactly}. We show that one can
obtain this non-perturbative answer thanks to a specific identity of fermionic
two-point functions in the planar local patch approximation. The resulting
spectrum is that of a non-Fermi liquid: quasiparticles are not part of the
exact fermionic excitation spectrum of the theory. Instead one finds continuous
spectral weight with power law scaling excitations as in a $d=1$ dimensional
critical state. Moreover, at low energies there are three such excitations at
three different Fermi surfaces, two with a low energy Green's function $G \sim
(\omega-v_*k)^{-1/2}$ and one with $G \sim |\omega+k|^{-1/3}$.

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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: q-alg
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The categories of this paper are: nlin
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: bayes-an