Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Calculation of non-universal thermodynamic quantities within
  self-consistent non-perturbative functional renormalization group approach   A self-consistent renormalization scheme suitable for the calculation of
non-universal quantities in $n$-vector models with pair spin interactions of
arbitrary extent has been suggested. The method has been based on the
elimination of the fluctuating field components within the layers defined by
the layer-cake representation of the propagator. The non-perturbative
renormalization group (RG) equations has been solved in the local potential
approximation. Critical temperatures of the $n=1-3$ vector spin models on cubic
lattices have been calculated in excellent agreement with the best known
estimates. Several critical amplitudes and the magnetisation curve of the Ising
model on the simple cubic lattice calculated within the approach compared well
with the values from literature sources. It has been argued that unification of
the method with cluster techniques would make possible the treatment of
realistic lattice models with multi-spin interactions and describe in a unified
framework the phase transitions of any kind. Besides the RG equations the
layer-cake technique can be used in the exact partial renormalization of the
local interactions in the functional lattice Hamiltonians. This procedure
reduces the strength of the interactions which in some cases can make them
amenable to perturbative treatment.

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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an