Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Six-loop $\varepsilon$ expansion study of three-dimensional $n$-vector
  model with cubic anisotropy   The six-loop expansions of the renormalization-group functions of $\varphi^4$
$n$-vector model with cubic anisotropy are calculated within the minimal
subtraction (MS) scheme in $4 - \varepsilon$ dimensions. The $\varepsilon$
expansions for the cubic fixed point coordinates, critical exponents
corresponding to the cubic universality class and marginal order parameter
dimensionality $n_c$ separating different regimes of critical behavior are
presented. Since the $\varepsilon$ expansions are divergent numerical estimates
of the quantities of interest are obtained employing proper resummation
techniques. The numbers found are compared with their counterparts obtained
earlier within various field-theoretical approaches and by lattice
calculations. In particular, our analysis of $n_c$ strengthens the existing
arguments in favor of stability of the cubic fixed point in the physical case
$n = 3$.

26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys