Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quantitative functional renormalization-group description of the
  two-dimensional Hubbard model   Using a leading algorithmic implementation of the functional renormalization
group (fRG) for interacting fermions on two-dimensional lattices, we provide a
detailed analysis of its quantitative reliability for the Hubbard model. In
particular, we show that the recently introduced multiloop extension of the fRG
flow equations for the self-energy and two-particle vertex allows for a precise
match with the parquet approximation also for two-dimensional lattice problems.
The refinement with respect to previous fRG-based computation schemes relies on
an accurate treatment of the frequency and momentum dependences of the
two-particle vertex, which combines a proper inclusion of the high-frequency
asymptotics with the so-called truncated unity fRG for the momentum dependence.
The adoption of the latter scheme requires, as an essential step, a consistent
modification of the flow equation of the self-energy. We quantitatively compare
our fRG results for the self-energy and momentum-dependent susceptibilities and
the corresponding solution of the parquet approximation to determinant quantum
Monte Carlo data, demonstrating that the fRG is remarkably accurate up to
moderate interaction strengths. The presented methodological improvements
illustrate how fRG flows can be brought to a quantitative level for
two-dimensional problems, providing a solid basis for the application to more
general systems.

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The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: q-fin
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph