Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-Consistent Fluctuation Theory for Strongly Correlated Electron
  Systems   A self-consistent theory for two-particle fluctuations with renormalized
irreducible vertices is proposed. Using the Parquet formalism, we construct the
fully antisymmetric full vertex in terms of the two-particle fluctuations in
the charge, the spin and the particle-particle channels on an equal footing to
satisfy the Pauli principle. The fluctuations are determined self-consistently,
which are reflected into the one-particle self-energy via the Schwinger-Dyson
equation. We demonstrate the application of the present theory to the impurity
Anderson model and the Hubbard model on a square lattice mainly for the
particle-hole symmetric case. In both models the vertex renormalization in the
spin channel eliminates magnetic instabilities of mean-field theory to ensure
the Mermin-Wagner theorem. The present theory gives the same critical exponents
of the self-consistent renormalization theory in the quantum critical region.

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The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: quant-ph
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The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
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The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-lat