Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Functional Renormalization Group and Kohn-Sham scheme in Density
  Functional Theory   Deriving accurate energy density functional is one of the central problems in
condensed matter physics, nuclear physics, and quantum chemistry. We propose a
novel method to deduce the energy density functional by combining the idea of
the functional renormalization group and the Kohn-Sham scheme in density
functional theory. The key idea is to solve the renormalization group flow for
the effective action decomposed into the mean-field part and the correlation
part. Also, we propose a simple practical method to quantify the uncertainty
associated with the truncation of the correlation part. By taking the
$\varphi^4$ theory in zero dimension as a benchmark, we demonstrate that our
method shows extremely fast convergence to the exact result even for the highly
strong coupling regime.

17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
2
The categories of this paper are: math
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys