Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effective medium approach in the renormalization group theory of phase
  transitions   An effective medium approach similar to the coherent potential approximation
(CPA) in the theory of disordered alloys and to the DMFT has been extended to
the renormalization group equations in the local potential approximation (LPA).
Non-universal characteristics of the second order phase transitions such as the
critical temperatures and critical amplitudes have been calculated in good
agreement with the best known estimates. A possibility of cluster extension of
the LPA to improve its accuracy and to make the approach systematic and
self-contained has been discussed. A qualitative explanation of the discrepancy
between theoretical value of the critical exponent $\beta$ and recent
experimental data on ordering in beta brass by the influence of non-universal
contributions has been suggested.

24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
6
The categories of this paper are: astro-ph