Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Many-body Diagrammatic Expansion for the Exchange-Correlation Kernel in
  Time-Dependent Density Functional Theory   A diagrammatic expansion for the dynamic exchange-correlation kernel f_xc of
time dependent density functional theory is formulated. It is shown that f_xc
has no singularities at Kohn-Sham transition energies in every order of the
perturbation theory. However, it may diverge with the system size in extended
systems. This signifies that any approximate perturbative substitute for f_xc
requires a consistent perturbative treatment of the equation for the response
function to avoid uncontrollable errors in the many-body corrections to
excitations energies.

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The categories of this paper are: econ
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
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The categories of this paper are: acc-phys
16
The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: comp-gas
1
The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: math
36
The categories of this paper are: cmp-lg
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin